Question

Which equation represent the graphed function

Answer 1

Explanation:

C

Answer 2

C

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 =
`(-1+2)/(4-0)` =
`(1)/(4)`

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

y =
`(1)/(4)` x - 2 ← equation of line