Mathematics: Which is the equation in the slope-intercept form of the line that contains points E & F ? •4x-y=12 •y-4=4(x-4) •x-4=4(y-4) •y=4x-12

I think it is a trick question but um the lanth is hight times 3/4...

Which is the equation in the slope-intercept form

chunkymonkey090

18.03.2022

y = 4x - 12

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 = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = E(4, 4) and (x₂, y₂ ) = F(2, - 4)

m = $\frac{-4-4}{2-4}$ = $\frac{-8}{-2}$ = 4 , then

y = 4x + c ← is the partial equation

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

Using (4, 4), then

4 = 16 + c ⇒ c = 4 - 16 = - 12

y = 4x - 12 ← equation of line

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