What is the equation of the line that passes through the point (3,-2) and has a
slope of -22

y = -22x + 64

Step-by-step explanation:

slope intercept form:

y = mx + b

m = slope = -22

b = y-intercept

x = x = 3

y = y = -2

Plug in the corresponding numbers to the corresponding variables:

-2 = (-22) * (3) + b

Simplify. First, multiply:

-2 = (-66) + b

Next, isolate the b. Note the equal sign, what you do to one side, you do to the other. Add 66 to both sides of the equation:

-2 (+66) = -66 (+66) + b

b = -2 + 66

b = 64

Plug in 64 for b in the equation:

y = mx + b

y = -22x + 64

~

x=6 and x=3

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