Question

What is the equation, in slope-intercept form, of the line that passes through (0, −2) and has a slope of −3?

Answer 1

y = -3x - 2

Explanation:

Slope intercept form: y = mx + b.

Note that: (x , y) = (0 , -2) & m (slope) = -3

Plug in the corresponding numbers to the corresponding variables:

-2 = (-3)(0) + b

Simplify. Solve for b.

-2 = 0 + b

b = -2

Plug in -3 for m (given) & -2 for b (the answer we got) to the original form:

y = -3x - 2 is your answer

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