Write the slope-intercept equation of the line through the point (3, -2), with slope -3.

So slope intercept form is: y = mx + b. You need to find the values of m (Which you know is -3) and b (The y-intercept).
So first, you should substitute the point that you have into the equation... (x = 3 and y = -2)

-2 = 3m + b

m stands for the slope, so if the slope is -3, you can substitute m for -3

-2 = 3(-3) + b

now solve for b

-2 = -9 + b
-2 +9 = b
7 = b

This means that the equation is: y = -3x + 7

slope intercept equation is y=mx+b
M is slope
X is x cordinate

Sooo...
-2=-3x-2+b

-2=-9+B

7=b

sooo

the equation isss

Y=-3x+7


:)

y = -3x + c
substituting the given point coords.

-2 = -3*3 + c
c = 7
Equation : y = -3x + 7
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