Question

The data in the graph represents a linear relationship.

(Graph)

Based on the graph, which equation can be used to describe the relationship between x and y?

A) y= -3x - 13.5

B) y= -1/3x - 2.5

C) y= 3x - 13.5

D) y= 1/3x - 2.5

Answer 1

It is B. Using slope formula of (y2-y1)/(x2-x1) there is a the equation of (2- -4.5)/(-13.5-6).
This equals 6.5/-18.5 which is ~ -1/3 for the slope.
Second for the formula is the y-intercept which is where the line of the graph hits the y-axis. This would be - 2.5 and the total equation would be y= -1/3x -2.5