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)
y + 4 = 3( x – 2)
B y – 2 = 3(x – 4)
y – 2 = 3( x – 4)
C y – 4 = 3(x + 2)
y – 4 = 3( x + 2)
D y + 2 = 3(x + 4)
The equation in point-slope form of a line is given by: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.
In this case, the given point is (-2, 4) and the slope is 3.
Using the point-slope form, we can substitute the values into the equation:
y - 4 = 3(x - (-2))
Simplifying the equation:
y - 4 = 3(x + 2)
This equation matches option C: y - 4 = 3(x + 2).