Question
Graph the line with equation ![straight Y equals x over 3 minus 5](data:image/png;base64,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)
Hint:
To plot the graph of an equation, first we make a table of points satisfying that equation. Then we draw an x-axis and y-axis on the graph. After that we scale both the axis according the values we get in the table. Lastly, we plot the points from the table on the graph and join them to get the required curve.
The correct answer is: After plotting the points, we join them with a line to get the graph of the equation.
Step by step solution:
The given equation is
y =
- 5
First we make a table of points satisfying the equation.
Putting x = 0 in the above equation, we will get, y = -5
Similarly, putting x = 3, in the above equation, we get y = 1 - 5 = -4
Continuing this way, we have
For x = -3, we get y = -6
For x = 6 we get y = -3
For x = -6, we get y = -7
Making a table of all these points, we have![](data:image/png;base64,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)
Now we plot these points on the graph.
![](data:image/png;base64,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)
After plotting the points, we join them with a line to get the graph of the equation.
First we make a table of points satisfying the equation.
Putting x = 0 in the above equation, we will get, y = -5
Similarly, putting x = 3, in the above equation, we get y = 1 - 5 = -4
Continuing this way, we have
Making a table of all these points, we have
Now we plot these points on the graph.
After plotting the points, we join them with a line to get the graph of the equation.
We can find the tabular values for any points of x and then plot them on the graph. But we usually choose values for which calculating y is easier. This makes plotting the graph simpler. We can also find the values by putting different values of y in the equation to get different values for x. Either way, we need points satisfying the equation to plot its graph
Related Questions to study
A builder buys 8.2 square feet of sheet metal. She used 2.1 square feet so far and
has R s 183 worth of sheet metal remaining. Write and solve an equation to find out
How much sheet metal costs per square foot ?
A builder buys 8.2 square feet of sheet metal. She used 2.1 square feet so far and
has R s 183 worth of sheet metal remaining. Write and solve an equation to find out
How much sheet metal costs per square foot ?
Find distributive property to find the product.
(3𝑥 − 4) (2𝑥 + 5)
Find distributive property to find the product.
(3𝑥 − 4) (2𝑥 + 5)
Find the value of 𝑚 to make a true statement. 𝑚𝑥2 − 36 = (3𝑥 + 6)(3𝑥 − 6)
Find the value of 𝑚 to make a true statement. 𝑚𝑥2 − 36 = (3𝑥 + 6)(3𝑥 − 6)
Graph the equation ![Y equals negative 4 x plus 3](data:image/png;base64,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)
Graph the equation ![Y equals negative 4 x plus 3](data:image/png;base64,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)
What is the relationship between the sign of the binomial and the sign of the second term in the product?
What is the relationship between the sign of the binomial and the sign of the second term in the product?
Find the product. (2𝑥 − 1)2
This question can be easily solved by using the formula
(a - b)2 = a2 - 2ab + b2
Find the product. (2𝑥 − 1)2
This question can be easily solved by using the formula
(a - b)2 = a2 - 2ab + b2
The coefficient of 𝑥 in the product (𝑥 − 3) (𝑥 − 5) is
The coefficient of 𝑥 in the product (𝑥 − 3) (𝑥 − 5) is
Find the product. (𝑥 + 9)(𝑥 + 9)
This question can be easily solved by using the formula
(a + b)2 = a2 + 2ab + b2
Find the product. (𝑥 + 9)(𝑥 + 9)
This question can be easily solved by using the formula
(a + b)2 = a2 + 2ab + b2
Geeta spends 803.94 to buy a necklace and bracelet set for each of her friends. Each
necklace costs Rs 7.99 and each bracelet cost 5.89, how many necklace and bracelet
What sets did she buy?
Geeta spends 803.94 to buy a necklace and bracelet set for each of her friends. Each
necklace costs Rs 7.99 and each bracelet cost 5.89, how many necklace and bracelet
What sets did she buy?
Use either the square of a binomial or difference of squares to find the area of the square.
![](data:image/png;base64,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)
Use either the square of a binomial or difference of squares to find the area of the square.
![](data:image/png;base64,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)
Use a table to find the product.
(2𝑥 + 1) (4𝑥 + 1)
Use a table to find the product.
(2𝑥 + 1) (4𝑥 + 1)
Graph the equation
on a coordinate plane.
Graph the equation
on a coordinate plane.
Use a table to find the product.
(𝑥 − 6) (3𝑥 + 4)
Use a table to find the product.
(𝑥 − 6) (3𝑥 + 4)
Why the product of two binomials (𝑎 + 𝑏) and (𝑎 − 𝑏) is a binomial instead of a trinomial?
Why the product of two binomials (𝑎 + 𝑏) and (𝑎 − 𝑏) is a binomial instead of a trinomial?
Graph the equation ![straight Y equals negative 0.5 straight x](data:image/png;base64,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)
We can find the tabular values for any points of x and then plot them on the graph. But we usually choose values for which calculating y is easier. This makes plotting the graph simpler. We can also find the values by putting different values of y in the equation to get different values for x. Either way, we need points satisfying the equation to plot its graph.
Graph the equation ![straight Y equals negative 0.5 straight x](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAE0AAAANCAYAAADsUePcAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAZRJREFUeNpjYGBgWAjEQQzYQTJUfjACPiCeBsQnoXgmVAwX+I8Hkwx4gPgCEIujiYsC8TkCDhlIsBeI/ZD4PlAxfIFGVWALxNvQxJZCxQcjCAXiSVjEJwBxJL0CDQS6gDgLynYB4g6GwQvWALEbFnFHqBy5gcYBxMeBWBpLrjsDlUcBLFANekC8AcpnILOM+E+rmIWCd0DMhkUcJPaSwpSmgyXXbcERSXAN34BYjWFwgz945H7hCTSQ3CdooBRBy3NsIAcp18UD8WIGIlIQvQC5qRVfoP0gYCcoBxkDcS0Q3wBiDRzqVgGxPRDfBWJhagXaQGbPlziyJwee7IkNgLLcQTyVIyhlphEbGIMdgAp7DxyBsIZEs7ClTCYgPgzE0dDybFgEGqgxPhuL+Hw8TQ5cZfhdLOKNQJwIZcdCmzJDPtBAYD8QF0DLKFBWrcaS1ZCLiXVAbAlNRUzQlHoXS2/IFFqeIYM+aOAN+UATBOK50Oz1DdqN4sETaKAG8S1oJfIOGjCmWMrE3VCz0cE2aKCPAnIAAHEJc2Ycs7uEAAAApHRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaSBtYXRodmFyaWFudD0ibm9ybWFsIj5ZPC9taT48bW8+PTwvbW8+PG1vPiYjeDIyMTI7PC9tbz48bW4+MC41PC9tbj48bWkgbWF0aHZhcmlhbnQ9Im5vcm1hbCI+eDwvbWk+PC9tYXRoPhd1/ssAAAAASUVORK5CYII=)
We can find the tabular values for any points of x and then plot them on the graph. But we usually choose values for which calculating y is easier. This makes plotting the graph simpler. We can also find the values by putting different values of y in the equation to get different values for x. Either way, we need points satisfying the equation to plot its graph.