What is the equation in point-slope form of the line that passes through the point (-2, 4) and has a slope of 3?
A. y + 4 = 3(x – 2)
B. y – 2 = 3(x – 4)
C. y – 4 = 3(x + 2)
D. y + 2 = 3(x + 4)
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 of the line.
The given point is (-2, 4) and the slope is 3.
Using the point-slope form, we have:
y - 4 = 3(x - (-2))
Simplifying this equation, we get:
y - 4 = 3(x + 2)
So, the equation in point-slope form of the line that passes through the point (-2, 4) and has a slope of 3 is:
C. y - 4 = 3(x + 2)