Slope Question

What is the x-intercept of a line with a slope of -4/5 and passes though (-1, 8)

Use the point-slope form

y - 8 = (-4/5)(x - [ -1 ])

y - 8 = (-4/5) (x + 1)

y = (-4/5)x - 4/5 + 8

y =(-4/5)x - 4/5 + 40/5

y = (-4/5)x + 36/5

This iis in slope intercept form  .......the y intercept is at   36/5 ......  [i.e.,  the point (0, 36/5)  ]

Sorry CPhill, your answer was right if the guest is to find the y-intercept but he was actually requesting us to find the x-intercept.

y = (-4/5)x + 36/5 Copying CPhill's last step. That's is the equation for slope-intercept form.

Set y to 0

0 = -4x / 5 + 36 / 5

Multiply by 5,

-4x + 36 = 0

-4x = -36

x = 9

The x-intercept is 9.  Which is at the point (9 , 0)