Question

Find the x and y intercepts of the graph of each equation

1: x - 2y = 2
2: -3x + 3y = 7
3: 3x - 5y = -20

Answer 1

Find the X and Y Intercepts

To find the x-intercept, substitute in 0 for y and solve for x . To find the y-intercept, substitute in 0 for x and solve for y .

x-intercept: (2 ,0 )

y-intercept: (0 , − 1 )

Is the first equation

Answer 2

Explanation:

(1) x- 2y = 2

To find x intercept we plug in 0 for y

x - 2(0) = 2

x=2, so x intercept is (2,0)

To find y intercept we plug in 0 for x

0 - 2y =2

-2y=2

divide both sides by -2

y=-1 , so y intercept is (0,-1)

(2) -3x + 3y = 7

plug in y=0 , -3x + 3(0) = 7

-3x=7

divide both sides by -3

So
`-(7)/(3)`, x intercept is (-7/3,0)

plug in x=0, -3(0) + 3y = 7

3y=7

divide both sides by 3

So
`(7)/(3)`, y intercept is (0,7/3)

(3) 3x - 5y = -20

Plug in y=0

3x - 5(0) = -20

3x = -20

Divide both sides by 3

`x= -(20)/(3)`, x intercept is (-20/3 , 0)

Plug in x=0

3(0) - 5y = -20

-5y= -20

divide both sides by -5

y = 4, so y intercept is (0,4)