Question

Which equation represents the linear function that is shown on the graph below?

On a coordinate plane, a line goes through points (4, 0), (6, 1), (8, 2), and (10, 3).
y = one-half x + 4
y = one-half x minus 2
y = 4 x minus 2
y = negative 2 x + 4

Answer 1

Find the slope: between (4,0) and (6,1) slope = (1 − 0)/(6 − 4) = 1/2.
Use point (4,0): 0 = (1/2)*4 + b ⇒ b = −2.
So the line is y = (1/2)x − 2.