Which equation describes the function shown on the graph?

Work Shown:

Pick any two points you want on the graph.

Two points on this graph are (0,-1) and (2,2)

Let (x1,y1) = (0,-1) and (x2,y2) = (2,2)

Find the slope of the line through (x1,y1) = (0,-1) and (x2,y2) = (2,2)

m = (y2 - y1)/(x2 - x1)

m = (2 - (-1))/(2 - 0)

m = (2 + 1)/(2 - 0)

m = 3/2

Plug m = 3/2 and (x1,y1) = (0,-1) into the point slope formula.

Solve for y.

y - y1 = m(x - x1)

y - (-1) = (3/2)(x - 0)

y + 1 = (3/2)x

y + 1 - 1 = (3/2)x - 1 ... subtract 1 from both sides

y = (3/2)x - 1

x+14

step-by-step explanation: