Question

Write an equation in slope-intercept form of the line that passes through (4.-4) and (9,1)

Answer 1

y=x-8

Explanation:

The slope intercept equation is y=mx+b

First, we can find the slope(m) of this line y2-y1/x2-x1

So: 1-(-4)/(9-4) which equals 5/5 which equals 1.

equation: y=1x+b

Now, we need to find the y-intercept (b) so we can plug in one of the given points into the equation. I am going to use the point (9,1):

1=1(9)+b

1=9+b

-8=b

so the y intercept is -8

therefore our final equation is y=x-8