Question

Find the location of the x-intercept, the location of the y-intercept, and the slope for the line

whose equation is 15y − 8x = 30.

Answer 1

x intercept (15/4,0)

y intercept (0,2)

slope 8/15

Explanation:

15y − 8x = 30.

To find the x intercept, set y =0

15(0) -8x = 30

8x = 30

Divide each side by 8 to solve for x

8x/8 = 30/8

x = 15/4

To find the y intercept, set x =0

15y -8(0) = 30

15y = 30

Divide each side by 15

15y/15 = 30/15

y =2

To find the slope we solve the equation for y

15y − 8x = 30.

Add 8x to each side

15y − 8x+8x =8x +30.

15y = 8x +30

Divide each side by 15

15y/15 = 8x/15 +30/15

y = 8/15x +2

The slope is 8/15