Question
The linear equation that have slope 
is
- y = 3x
- y = -3x
- 3y = x
- 3y = -x
Hint:
A line is a one-dimensional figure, which is consists of a set of points and it has no end points. Line is also known as the shortest distance between two points. Line can be expressed in form of an equation whose standard form is y=mx+c, where m is the slope of the line and c is the intercept of the line. Here, we have to write the equation of the line which can be done by using the slope given in the question.
The correct answer is: 3y = x
In the question the slope of a equation of line is
We have to find the equation of the line having slop 
In option a the equation is
y=3x .............(1)
On comparing eq 1 with y=mx+c we get, m=3 and c=0.
Here, the slope of the line is 3.
In option b the equation of line is
y=-3x ................(2)
On comparing eq 2 with y=mx+c we get, m=-3.
Here, the slope of the line is -3.
In option c the equation of line is
3y=x ................(3)
Convert eq 3 in the form of y=mx+c.
On comparing eq 4 with y=mx+c we get, m=
Here, the slope of the line is
In option d the equation of line is
3y=-x ..............(5)
Convert eq 5 into the form y=mx+c.
On comparing eq 6 with y=mx+c, we get m=
Here, the slope of the line is 
.
So, the equation having slope is 3y=x.
Therefore the correct option is c, i.e., 3y=x.
The standard equation of line is y=mx+c, where m is the slope of the line and c is the intercept. To write the equation of a line we need to find the value of slope and the intercept.
Related Questions to study
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The teacher asks the students to give an equation. The equations are as follows
Robert: 2 times a number is 2 greater than the number
Bob: 3 times a number is 3 is greater than the number
Col: 4 added to a number is the same as 5 added to a number
Sam: 4 times a number is the same as 5 times a number
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A linear equation in one variable is equation with only one variable and in which the highest degree is 1. A linear equation has no solution if it has same terms on both sides of the equation. Like terms in an equation are the terms having same variable of same power in which the coefficient may not be the same whereas unlike terms are the terms which don't have same variable. Addition and subtraction are possible in like terms but not in unlike terms.
The teacher asks the students to give an equation. The equations are as follows
Robert: 2 times a number is 2 greater than the number
Bob: 3 times a number is 3 is greater than the number
Col: 4 added to a number is the same as 5 added to a number
Sam: 4 times a number is the same as 5 times a number
The student who gave an equation that has 0 as the solution is
A linear equation in one variable is equation with only one variable and in which the highest degree is 1. A linear equation has no solution if it has same terms on both sides of the equation. Like terms in an equation are the terms having same variable of same power in which the coefficient may not be the same whereas unlike terms are the terms which don't have same variable. Addition and subtraction are possible in like terms but not in unlike terms.
In a race, rabbit jumps 2 feet distance for every jump. The distance between point A to B is 160 feet. The rabbit initially started from the midway of A to B. The total number of jumps does the rabbit need to make to reach to point B is
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Teacher asked students the number of solutions of 25(x + 1) = 5(5x + 2) +15, the answers the students responded are
Katty: The solution is x = 2
Katherine: The equation has no solution
Steve: The equation has infinitely many solutions
The linear equations with one variable are an equation which has only one variable and the highest power of the variable should be one. The linear equations in one variable having infinitely many solutions if it has same variable and constant terms on both the sides of the equation. On solving the equation, they will get cancelled and will give 0=0 as result.
Teacher asked students the number of solutions of 25(x + 1) = 5(5x + 2) +15, the answers the students responded are
Katty: The solution is x = 2
Katherine: The equation has no solution
Steve: The equation has infinitely many solutions
The linear equations with one variable are an equation which has only one variable and the highest power of the variable should be one. The linear equations in one variable having infinitely many solutions if it has same variable and constant terms on both the sides of the equation. On solving the equation, they will get cancelled and will give 0=0 as result.
A transport company charges $10 for the deal and 25 cents for every one kg of apples. The total transport company charged David is $100. The total weight he transported is
Dollar is the official currency of America. It is represented by $ or US$ (more specific). One dollar is made up of 100 cents. Dollar is used or accepted in many countries.
A transport company charges $10 for the deal and 25 cents for every one kg of apples. The total transport company charged David is $100. The total weight he transported is
Dollar is the official currency of America. It is represented by $ or US$ (more specific). One dollar is made up of 100 cents. Dollar is used or accepted in many countries.
Justin proposed an offer of chocolate to whoever guesses the number he chose correctly. He gives them a clue:” Five times the number is 5 more than the number.” The number Justin chose is
Like terms are the terms having same variable of same power in which the coefficient may not be the same whereas unlike terms are the terms which don't have same variable. Addition and subtraction are possible in like terms but not in unlike terms.
Justin proposed an offer of chocolate to whoever guesses the number he chose correctly. He gives them a clue:” Five times the number is 5 more than the number.” The number Justin chose is
Like terms are the terms having same variable of same power in which the coefficient may not be the same whereas unlike terms are the terms which don't have same variable. Addition and subtraction are possible in like terms but not in unlike terms.
The solution of the equation 2x + 7 = 2(x + 3) + 1
The linear equations with one variable are an equation which has only one variable and the highest power of the variable should be one. The linear equations in one variable having infinitely many solutions if it has same variable and constant terms on both the sides of the equation. On solving the equation, they will get cancelled and will give 0=0 as result.
The solution of the equation 2x + 7 = 2(x + 3) + 1
The linear equations with one variable are an equation which has only one variable and the highest power of the variable should be one. The linear equations in one variable having infinitely many solutions if it has same variable and constant terms on both the sides of the equation. On solving the equation, they will get cancelled and will give 0=0 as result.
The teacher asked the student to give a statement for the linear equation, the response she got is “ twice of five times a number is added with 3 is same as ten times a number being added to 6.” The number for the above statement is
The linear equations with one variable are an equation which has only one variable and the highest power of the variable should be one. The linear equations in one variable having infinitely many solutions if it has same variable and constant terms on both the sides of the equation. On solving the equation, they will get cancelled and will give 0=0 as result.
The teacher asked the student to give a statement for the linear equation, the response she got is “ twice of five times a number is added with 3 is same as ten times a number being added to 6.” The number for the above statement is
The linear equations with one variable are an equation which has only one variable and the highest power of the variable should be one. The linear equations in one variable having infinitely many solutions if it has same variable and constant terms on both the sides of the equation. On solving the equation, they will get cancelled and will give 0=0 as result.
A taxi company charges $2 for booking and charges $0.2 separately for every mile. The total amount Wade paid to the taxi company is $12. The distance he travelled in the cab is
Like terms are the terms having same variable of same power in which the coefficient may not be the same whereas unlike terms are the terms which don't have same variable. Addition and subtraction are possible in like terms but not in unlike terms.
A taxi company charges $2 for booking and charges $0.2 separately for every mile. The total amount Wade paid to the taxi company is $12. The distance he travelled in the cab is
Like terms are the terms having same variable of same power in which the coefficient may not be the same whereas unlike terms are the terms which don't have same variable. Addition and subtraction are possible in like terms but not in unlike terms.
The number of balloons in the packet are 25, George has some packets to decorate the stage. Of all 33 balloons have burst and were useless. The total balloons used for decoration were 117. The number of packets does George used in total are
A linear equation in one variable is equation with only one variable and in which the highest degree is 1. A linear equation in one variable can be solved by placing the unknown values on one side and known values on another side of the equation. it is important to operate equal terms on both sides so that the equation will remain balanced.
The number of balloons in the packet are 25, George has some packets to decorate the stage. Of all 33 balloons have burst and were useless. The total balloons used for decoration were 117. The number of packets does George used in total are
A linear equation in one variable is equation with only one variable and in which the highest degree is 1. A linear equation in one variable can be solved by placing the unknown values on one side and known values on another side of the equation. it is important to operate equal terms on both sides so that the equation will remain balanced.
