Question

find an equation in point-slope form form the line having the slope m = -4 and containing the point (3,5)

Answer 1

y = 17 - 4x or y = 17 + (-4x)

Explanation:

Plug the slope (m) into the equation y=mx+b so it becomes y = -4x + b

Then see how much your line changed from the point to the y-axis. In this case, it changed by negative 12. So you have to go up 12 points to reach the y-intercept. (5+12=17)

Then, plug that number into the equation.

y = 17 - 4x