Write an equation of the line in slope intercept form

y = 2x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m =

with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (2, 2)

m = = = 2

The line crosses the y- axis at (0, - 2) ⇒ c = - 2

y = 2x - 2 ← equation of line

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation:

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