Question

Write the equation of a line with an x-intercept of 4 and a y-intercept of -3.

Answer 1

y =
`(3)/(4)` x - 3

Explanation:

Coordinates of x-intercept are (x, 0)

Coordinates of y-intercept are (0, y)

(0, - 3)

(4, 0)

Slope m =
`(3)/(4)`

y =
`(3)/(4)` x - 3

y =
`(3)/(4)` ( - 4) - 3 = - 6

(- 4, - 6)

y =
`(3)/(4)` ( - 16) - 3 = - 15

(- 16, - 15)

12 =
`(3)/(4)` x - 3

`(3)/(4)` x = 15

x = 20

(20, 12)