Question

Enter the equation of the line in the given form.

The line through (−2, 4) with slope 2/3 in point-slope form.

A) y - 4 = (2/3)(x + 2)
B) y = (2/3)x + 4
C) 3y = 2x + 12
D) 2y = 3x + 8

Answer 1

The equation of the line through (-2, 4) with a slope of 2/3 is y - 4 = (2/3)(x + 2).

Step-by-step explanation:

The equation of the line through (-2, 4) with a slope of 2/3 is:

y - y1 = m(x - x1)

where (x1, y1) = (-2, 4) and m = 2/3.

Substituting these values into the equation, we get:

y - 4 = (2/3)(x + 2)

Therefore, the answer is A) y - 4 = (2/3)(x + 2).