Question

The graph compares distance in yards and distance in feet.

Which equation represents the relationship between yards and feet?
A.
B.
C.
D.

Answer 1

1/3 yards

Explanation:

Answer 2

yards =
`(1)/(3)` feet

Explanation:

The graph is a straight line passing through the origin with equation

y = mx ( m is the slope )

Calculate slope using gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (6, 2) ← 2 points on the line

m =
`(2-0)/(6-0)` =
`(2)/(6)` =
`(1)/(3)`

the x- axis is feet and the y-axis is yards, hence

yards =
`(1)/(3)` feet