Question

Find the x-intercept of the line of 7x–17y=–28.

Answer 1

x = -4

Explanation:

The x intercept occurs at y = 0

This will be easier to solve if we rearrange the equation in terms of y:

7x - 17y = -28

7x - 17y +28 = 0

17y = 7x +28

y=
`(7)/(17)`x +
`(28)/(17)`

Now make y equal to zero:

0 =
`(7)/(17)`x +
`(28)/(17)`

`-(28)/(17)` =
`(7)/(17)`x

x =
`-(28)/(17)` *
`(17)/(7)` (when dividing by fractions multiply by the reciprocal)

The 17s cancel out so we are left with:

x =
`-(28)/(7)`

x = -4

Cancelled down all right at the end :) Hope that helps!