Answer:
y = -5x + 2
Explanation:
Label the points that are given.
(0,2) = (x1, y1)
(1, -3) = (x2, y2)
Step 1: Find the slope, denoted m
This is done by using the formula m = (y2 - y1)/(x2 - x1)
The slope for this problem is
m = (-3 - 2)/(1 - 0)
m = -5/1 = -5
Step 2: The general form for a linear equation in slope-intercept form is
y = mx + b where m is the slope and b is the y-intercept
Use what we know about our line to solve the rest. By using one of the given points, we have 3 of the 4 variables in the above equation. Pick either point, it doesn't matter which one. We'll use (0, 2), which is (x, y), and we know that
m = 5
The equation becomes...
2 = -5(0) + b (now solve for b)
2 = b ( -5(0) = 0
Plug that value into the general form...
y = -5x + 2