Question

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

A. (y = -3x - 2)
B. (y = 3x - 2)
C. (y = -2x - 3)
D. (y = 2x - 3)

Answer 1

The equation, in slope-intercept form, for the line that passes through (0, -2) and has a slope of -3 is y = -3x - 2.

Step-by-step explanation:

The equation, in slope-intercept form,

can be written as y = mx + b, where m is the slope and b is the y-intercept. Given that the line passes through the point (0, -2) and has a slope of -3, we can substitute these values into the equation.

Substituting the slope -3 into the equation, we get y = -3x + b. Substituting the coordinates of the point (0, -2) into the equation, we get -2 = -3(0) + b. Solving for b, we find that b = -2.

Substituting the value of b = -2 back into the equation, we have y = -3x - 2. Therefore, the equation in slope-intercept form for the line that passes through (0, -2) and has a slope of -3 is y = -3x - 2 (Option A).