Write an equation that represents the line.
Use exact numbers.

Step-by-step explanation:

Finding slope

Slope-intercept formula: y = mx + b

Two good points on the graph:

(2, -2)

(-3, -6)

Two-point slope formula:

Plug these points into the graph:

                          solve

                             simplify

                               a negative divided by a negative is a positive

m = 4/5

Finding y-intercept

The y-intercept is the point where the line of the graph goes through the y-axis. And when x is 0. In this graph, we have a point in between -3 and -4, but closer to -4. But is nearer to -4, so we will approximate:

b = (0, -3 3/5)

The equation

The last step is setting up the equation. We are using slope-intercept: y= mx + b

Plugin the values for m and b

y = mx + b

y = 4/5x - 3 3/5 (note that since it is negative, which has a minus sign, it replaces the +.

step-by-step explanation: