There is a question >

Question

Write the slope intercept form of the equation for the line passing through the points (-6,3) and (0,7)

Now my answer started with >

Slope = 7-3/0-(-6) = Slope = 2/3

Then to find the intercept >

Y=mx+c

3= 2/3(-6) + c
c= 7

In my opinion this is the only way I could think of besides the formula y0-y1=m(x0-x1) and I tried that and I am getting nothing..

So where am I going wrong?

The right answer according to mathlab is > y=3/4x+8

Answer 1

Unless you have a typo in your original information, the correct equation in y-intercept slope form is

y = (2/3)x + 7 , which is what you had

As was shown by Jesse, the answer they supplied does not verify , so it is wrong.
Both of the given points satisfy your equation.
As a matter of fact (0,7) is the actual y-intercept , thus the b of the equation.

Trust me!!

Answer 2

Aha, then is must be a technical error in Mathlab. :/