Question

Write the slope intercept form of the equation of the line through the given point with the given slope.

Answer 1

Point Slope Form: y - y₁ = m(x - x₁)
slope = m

Slope Intercept Form: y = mx + b

Steps: 
∴ Plug in the slope and point into point slope form.
∴ Convert the equation from point slope form to slope intercept form.

1). y + 1 = 2(x + 2)                         2). y + 3 = -1/2(x + 2)
      
      y + 1 = 2x - 4                                  y + 3 = -1/2x -1
          - 1         - 1                                      - 3             - 3 
-------------------------------                ---------------------------------
      y = 2x - 5                                         y = -1/2x - 4


I hope that this helps you understand more about slope intercept form and point slope form of lienar lines!