Question

What is the equation of a line that goes through (2,5) and (-2,3)?

Answer 1

First, we need to find the slope.
m =
`( x_(2) - x_(1) )/( y_(2) - y_(1) )`
m =
`(2-(-2))/(3-5)`
m =
`(4)/(-2)`
m = -2

Next, write the standard line equation:
y = mx + b
Now fill in what you know (pick a coordinate point, it does not matter):
5 = -2(2) + b
Simplify to solve for b:
5 = -4 + b
+4 +4
9 = b

Rewrite the equation:
y = -2x + 9