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?

the slope intercept form is: y = x+2

Step-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 = 1

and solving the equation;

y-3 = x-1

Adding +3 on both sides

y = x-1+3

y=x+2

The general formula of slope-intercept form is : y = mx+b

where m is the slope and b is the y-intercept

so, y = x+2

where m =1 and b=2

so, the slope intercept form is: y = x+2