Q:

The point-slope form of the equation of the line that passes through (–9, –2) and (1, 3) is y – 3 = (x – 1). What is the slope-intercept form of the equation for this line?

Accepted Solution

A:
Answer:the slope intercept form is: y = x+2Step-by-step explanation:The general form of point slope form is : y-y₁ = m(x-x₁)The given equation is: y – 3 = (x – 1)comparing we get, m = 1and solving the equation;y-3 = x-1Adding +3 on both sidesy = x-1+3y=x+2The general formula of slope-intercept form is : y = mx+bwhere m is the slope and b is the y-interceptso, y = x+2where m =1 and b=2so, the slope intercept form is: y = x+2