Question

Which is the equation of the given line in point-slope form?

Answer 1

0 - 8 = -x (8 - 0), simplified: -8 = -x (8)

Explanation:

The formula for point-slope form is y2-y1=m(x2-x1) where y2=the second point's y-value, y1=the first point's y-value, m=the slope, x2=the second point's x-value, x1=the first point's x-value. The first point is (0,8) and the second is (8,0) because you view them from left to right. To find the slope you start at the point and count the spaces down then over which ends up down 8, right 8, making the slope -1x.

Answer 2

y-8 = -(x-0)

Explanation:

First find the slope by using the given points

m = ( y2-y1)/(x2-x1)

= ( 8-0)/(0-8)

= 8/ -8

= -1

Point slope form is

y-y1 = m(x-x1) where m is the slope and (x1, y1) is a point on the line

Using (0,8)

y-8 = -1(x-0)

y-8 = -x