Answer:
y = -(2/3)x + 5/3
Step-by-step explanation:
Label the points that are given.
(4, -1) = (x1, y1)
(-2, 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 - (-1))/(-2 - 4)
m = 4/-6 = -2/3
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 (4, -1), which is (x, y), and we know that
m = -2
/3
The equation becomes...
-1 = -(2/3)(4) + b (now solve for b)
-1 = -8/3 + b
-1 + 8/3 = b
-3/3 + 8/3 = b
5/3 = b
Plug that value into the general form...
y = -(2/3)x + 5/3
