Write an equation in Slope-Intercept form that represents a line that passes through the following points: (2, 4) and (5,-2). Show your work.

y = - 2x + 8

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 ) = (2, 4) and (x₂, y₂ ) = (5, - 2)

m = = = - 2, then

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2,  4)

4 = - 4 + c ⇒ c = 4 + 4 = 8

y = - 2x + 8 ← equation of line

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x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x