Question 162047
Well you can find your slope by doing (y2-y1)/(x2-x1)...

y2 = -5
y1 = -2
x2 = -3
x1 = -7

(-5 - -2)/(-3 - -7)
(-3)/(4)
Your slope = -3/4

So since we want our answer in the form of y=mx + b...and since we already have m...we can take one of the two points we were given (it doesn't matter which) and plug it in and solve for b.

I'll use (-7, -2)...

y=mx+b
-2 = (-3/4) * (-7) + b
-2 = (21/4) + b

Convert -2 into a fraction for the upcoming fractional subtraction...

-2 = -8/4

(-8/4) = (21/4) + b


Subtract (21/4) from both sides...

(-8/4) - (21/4) = (21/4) + b - (21/4)
(-29/4) = b

So now that we have b we can write our equation of that line...


y = (-3/4)x - (29/4)


There ya go :)