Question

The slope of the graph is? as a fraction in simplest terms

Answer 1

EXPLANATION

Given the line in the graph, in order to find the slope, we must apply the following relationship:

`\text{Slope = }((y_2-y_1))/((x_2-x_1))`

Now, we need at least two ordered pairs to get the slope.

Let's consider (x1,y1)=(0,-6) and (x2,y2)=(6,-2)

Then, replacing into the equation:

`\text{Slope = }((-2-(-6)))/((6-0))=((-2+6))/((6))=(4)/(6)=(2)/(3)`

So, the slope is 2/3