Question

What is an equation of the line that passes through the points (4, -2) and (8,3)?

Answer 1

Use the equation to find the slope: m=y2-y1/x2-x1 and plug in each of the y coordinates into the numerator and each of the x coordinates in the denominator

m=-2-3/4-8
-5/-4
m=5/4

Plug in the slope and one of the ordered pairs into y=mx+b. I’ll use (8,3)

3=5/4(8)+b
3=10+b
-7=b

Equation: y=5/4x-7