Question

Please give an answer and an explanation

Answer 1

D

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 ) = (- 4, 0.5) and (x₂, y₂ ) = (4, - 0.5)

m =
`(-0.5-0.5)/(4+4)` = -
`(1)/(8)`

y = -
`(1)/(8)` x + c ← is the partial equation

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

using (4, - 0.5 ), then

- 0.5 = - 0.5 + c ⇒ c = - 0.5 + 0.5 = 0

y = -
`(1)/(8)` x → D