Answer:
y = 3x - 10
Explanation:
The equation of the line y = 3x + 2 is written in the form y = mx + b, where m = slope. Therefore, the slope of the line with equation y = 3x + 2 is 3.
We want the equation of a parallel line that passes through point (2, -4).
Parallel lines have equal slopes, so we want the equation of a line with
m = 3.
y = mx + b
We need to find b.
We use the given point for x and y and solve for b.
y = mx + b
m = 3; x = 2; y = -4
-4 = 3(2) + b
-4 = 6 + b
b = -10
The equation is:
y = 3x - 10