Question

Write the equation of the line that has a slope of 2 and passes through the point (-3,4).

A) y = 2x - 2

B) y = 2x + 2


C) y = 2x + 7


D) y = 2x + 10


E) y = -2x + 7


I think its either A or E. Please correct me if I am wrong. Thank you for helping.

Answer 1

y = 2x + 10

Explanation:

We are given the slope of the line and the coordinates of one point on the line. Thus, we use the point-slope formula y - k = m(x - h). Here m = 2, h = -3 and k = 4. Therefore we have:

y - 4 = 2(x + 3)

which can be rewritten as y = 2x + 6 + 4, or y = 2x + 10 (Answer D)