Answer:
y = 2x - 10
Explanation:
First, we find the slope.
m = slope = (y2 - y1)/(x2 - x1) = (-2 - 4)/(4 - 7) = -6/(-3) = 2
Now we use the slope in the slope-intercept form of the equation of a line.
y = mx + b
y = 2x + b
We use the coordinates of one of the given points for x and y, and we solve for b. Let's use the point (7, 4), so we have x = 7 and y = 4.
4 = 2(7) + b
4 = 14 + b
Subtract 14 from both sides.
-10 = b
Now we replace b with -10.
y = 2x - 10
Answer: y = 2x - 10