Question

Write an equation in point-slope form for the line that has a slope of 14 and passes through the point (0, -2).

A. y - 14x = -2
B. y - 2 = 14x
C. y - (-2) = 14(x - 0)
D. y = 14x - 2

Answer 1

The equation of the line in point-slope form is y = 14x - 2.

Step-by-step explanation:

The equation of a line in point-slope form is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Given that the slope is 14 and the line passes through the point (0, -2), we substitute these values into the point-slope form to get y - (-2) = 14(x - 0).

Simplifying the equation gives us y + 2 = 14x, which can be rearranged as y = 14x - 2.

Therefore, the equation of the line in point-slope form is D. y = 14x - 2.