Question

What is the equation of the line that passes through the points (2, -4) and (0, 8)?

Answer 1

Answer:

C

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 )

To calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (2, - 4) and (x₂, y₂ ) = (0, 8)

m = $\frac{8+4}{0-2}$ = $\frac{12}{-2}$ = - 6

note the line passes through the point (0, 8) ⇒ c = 8

y = - 6x + 8 → C