How do you write the equation in slope intercept form given (-3,13) and (-1,-1)?

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Answer 1 · 2017-09-11T19:28:08

The line's equation is

$y=-7x-8$

See explanation.

If 2 points of a line $A=(x_A;y_A)$ and $B=(x_B;y_B)$ are given, then the line's slope $a$ can be calculated as:

Here we have:

$a=(-1-13)/(-1-(-3))=-14/2=-7$

Now we have to find the $b$ term for which one of the points lies on the line:

$-1=-7*(-1)+b$

$b=-1-7$

$b=-8$

Now we can write the function: