Question

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

1. through: (2,-1), slope = 2
2. through: (-2,-3), slope= -1/2

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!