Question

Find the equation (in terms of x) of the line through the points (-2,4) and (2,0) y =

Answer 1

Answer:

y = - x + 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 = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 2, 4 ) and (x₂, y₂ ) = (2, 0 )

m = $\frac{0-4}{2-(-2)}$ = $\frac{-4}{2+2}$ = $\frac{-4}{4}$ = - 1 , then

y = - x + c ← is the partial equation

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

Using (2, 0 )

0 = - 2 + c ⇒ c = 0 + 2 = 2

y = - x + 2 ← equation of line

Answer 2

The answer you are looking for is y=-x+2