# What is the equation in point-slope form of the line given (5,6), (3,10)?

Jun 10, 2015

Point-Slope form of line (5, 6) and (3, 10)

#### Explanation:

Slope of the line: $\frac{y 2 - y 1}{x 2 - x 1}$ = (10 - 6)/(3 - 5) = - 2

Equation of the line: y = -2x + b.
Find b by writing that the line passing at point (5, 6):

6 = -10 + b -> b = 16

Equation of the line: y = -2x + 16