Question

A line includes the points (1, 6) and (10, 4). What is its equation in point-slope form? Use one of the specified points in your equation. Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer 1

y2-y1/x2-x1
4-6/10-1
-2/9 is the slope

y-y1=m(x-x1)
y-6=-2/9(x-1)
y-6=-2/9x-2/9
Multiply both sides by 9
9y-54=-2x-2
2x+9y=52

Therefore 2x+9y=52 is the equation