Question

Which equation represent the graphed function

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 ) = (0, - 2) and (x₂, y₂ ) = (4, - 1) ← 2 points on the line

m = $\frac{-1+2}{4-0}$ = $\frac{1}{4}$

note that the line crosses the y-axis at (0, - 2) ⇒ c = - 2

y = $\frac{1}{4}$ x - 2 ← equation of line

Answer 2

Answer:

Step-by-step explanation:

C