Answer y - 1 = -1 ( x - 2)
Step by step
Given points ( 2, 1 ) and ( -2, 5)
First find slope using slope formula
y2 - y1 over x2 - x1
5 - 1 over -2 -2
4 over -4 = -1 slope
We know slope is also known as “m” in
in point slope formula
y - y1 = m ( x - x1)
Using slope of -1 and ( 2, 1) fill in your blanks
y - 1 = -1 ( x - 2)
This is your answer to the boxes
To solve (which is not part of the question)
y - 1 = -1x + 2
add 1 to both sides to isolate y
y -1 + 1 = -1x + 2 + 1
y = -1x + 3