Question

Which equation represents the line through (4, -6) and (0,2)

Answer 1

Answer:

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

with (x₁, y₁ ) = (4, - 6) and (x₂, y₂ ) = (0, 2 )

m = $\frac{2-(-6)}{0-4}$ = $\frac{2+6}{-4}$ = $\frac{8}{-4}$ = - 2

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

y = - 2x + 2 ← equation of line