Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

Which of the following is an equation of the line in the $x y$ -plane that contains the points $left parenthesis 13 right parenthesis$ and $left parenthesis 515 right parenthesis ?$

$y = 3 x$
$y = 2 x + 5$
$y = x + 2$
$y = \frac{1}{3} x$

The correct answer is: $y equals 3 x$

A line is a one-dimensional figure, which has length but no width. It is made of a set of points that has 2 coordinates viz. x & y coordinates. The general equation of a straight line is y = mx + c.
In the given question, we will substitute the values of x & y coordinates of 2 points (1,3) and (5,15) in the given options and find the correct solution where LHS = RHS
In the adjacent table, we substitute the values of x & y in each equation and check whether LHS = RHS.

Final Answer:-
Since, the coordinates of both points given in the question satisfy the equation in Option A,
Option A i.e. y = 3x is the correct answer.
Note:-
During actual exam, there is no need to solve for all the 4 options. Once, Option A satifies the condition given in the question, student can move forward to solve the next question to save time.

Related Questions to study

$fraction numerator x plus 2 over denominator left parenthesis x plus 2 right parenthesis to the power of 2 end exponent end fraction$
Which of the following expressions is equivalent to the given expression, where $x not equal to negative 2$ ?

$fraction numerator x plus 2 over denominator left parenthesis x plus 2 right parenthesis to the power of 2 end exponent end fraction$
Which of the following expressions is equivalent to the given expression, where $x not equal to negative 2$ ?

$open parentheses x to the power of 3 end exponent plus x close parentheses plus open parentheses x to the power of 2 end exponent minus x close parentheses$ Which of the following is equivalent to the given expression?

$open parentheses x to the power of 3 end exponent plus x close parentheses plus open parentheses x to the power of 2 end exponent minus x close parentheses$ Which of the following is equivalent to the given expression?

Bill is planning to drive 1,000 miles to visit his family. If he plans to drive 250 miles per day, which of the following represents the remaining distance $d$ , in miles, that Bill will have to drive to reach his family after driving for $n$ days?

Bill is planning to drive 1,000 miles to visit his family. If he plans to drive 250 miles per day, which of the following represents the remaining distance $d$ , in miles, that Bill will have to drive to reach his family after driving for $n$ days?

parallel

Aracely can spend up to a total of $$ 20$ on streamers and balloons for a party. Streamers cost $$ 1.49$ per pack, and balloons cost $$ 4.39$ per pack. Which of the following inequalities represents this situation, where $s$ is the number of packs of streamers Aracely can buy, and $b$ is the number of pack of balloons Aracely can buy? (Assume there is no sales tax.)

Aracely can spend up to a total of $$ 20$ on streamers and balloons for a party. Streamers cost $$ 1.49$ per pack, and balloons cost $$ 4.39$ per pack. Which of the following inequalities represents this situation, where $s$ is the number of packs of streamers Aracely can buy, and $b$ is the number of pack of balloons Aracely can buy? (Assume there is no sales tax.)

The function $f$ is defined by $f left parenthesis x right parenthesis equals x to the power of 2 end exponent minus 5 x plus 6$ . What is the value of f(4) ?

The function $f$ is defined by $f left parenthesis x right parenthesis equals x to the power of 2 end exponent minus 5 x plus 6$ . What is the value of f(4) ?

In the figure shown, line j is parallel to line $k$ and line $l$ is parallel to line $m$ . What is the value of x ?

In the figure shown, line j is parallel to line $k$ and line $l$ is parallel to line $m$ . What is the value of x ?

parallel

x -1 0 1 2 3

y 1 2 3 4 5

The table above shows some values of $x$ and their corresponding values of y. Which of the following equations shows a possible relationship between x and y ?

x -1 0 1 2 3

y 1 2 3 4 5

The table above shows some values of $x$ and their corresponding values of y. Which of the following equations shows a possible relationship between x and y ?

Century and Region of United States Presidents' Births as of 2014

The table above shows the distribution of United States presidents according to the century and the region of the country in which they were born. Based on the information in the table, what fraction of presidents who were not born in the nineteenth century were born in the South?

Century and Region of United States Presidents' Births as of 2014

The table above shows the distribution of United States presidents according to the century and the region of the country in which they were born. Based on the information in the table, what fraction of presidents who were not born in the nineteenth century were born in the South?

English-One-to-One

Choose the word with the correct magic “e”.

Choose the word with the correct magic “e”.

English-One-to-OneGeneral

parallel

A large company has 19 mainframe computers of a certain class. The scatterplot above shows the value and age for each of the 19 computers. A line of best fit for the data is also shown.
What is the number of computers for which the line of best fit predicts a value less than the actual value?

A large company has 19 mainframe computers of a certain class. The scatterplot above shows the value and age for each of the 19 computers. A line of best fit for the data is also shown.
What is the number of computers for which the line of best fit predicts a value less than the actual value?

A large company has 19 mainframe computers of a certain class. The scatterplot above shows the value and age for each of the 19 computers. A line of best fit for the data is also shown.
Based on the line of best fit, the estimated value of a 6-year-old computer is k thousand dollars, where k is an integer. What is the value of k?

A large company has 19 mainframe computers of a certain class. The scatterplot above shows the value and age for each of the 19 computers. A line of best fit for the data is also shown.
Based on the line of best fit, the estimated value of a 6-year-old computer is k thousand dollars, where k is an integer. What is the value of k?

The linear function f is defined by f(x) = cx + d, where c & d are constants. If f (50) = 27,000 and f (100) = 38,000, what is the value of c?

The linear function f is defined by f(x) = cx + d, where c & d are constants. If f (50) = 27,000 and f (100) = 38,000, what is the value of c?

parallel

The length, in meters, of the sides and the height of a parallelogram are shown in the given figure. What is the area in square meters, of the parallelogram?

The length, in meters, of the sides and the height of a parallelogram are shown in the given figure. What is the area in square meters, of the parallelogram?

One serving of a certain brand of microwave popcorn provides 150 calories, 90 of which are from fat. One serving of a certain brand of low-sodium pretzels provides 120 calories, 12 of which are from fat. How many more calories from fat are provided by a 100 calorie serving of the microwave popcorn than are provided by a 100 calorie serving of the pretzels?

One serving of a certain brand of microwave popcorn provides 150 calories, 90 of which are from fat. One serving of a certain brand of low-sodium pretzels provides 120 calories, 12 of which are from fat. How many more calories from fat are provided by a 100 calorie serving of the microwave popcorn than are provided by a 100 calorie serving of the pretzels?

4x + y = 4 &
8x + y = 5
If (x, y) is the solution of the system of equations above, what is the value of x?

4x + y = 4 &
8x + y = 5
If (x, y) is the solution of the system of equations above, what is the value of x?

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.