Question

What is the slope of the line? y 31 2 -1 2 3 -3+

Answer 1

To find the slope of this line, we need to find two points on the graph. It is recommended that both points are easy to identify. These points are (-2, 0), and (4, 4).

Now, we have:

(-2, 0) ---> x1 = -2, y1 = 0

(4, 4) ---> x2 = 4, y2 = 4

This is because we need to apply the formula to find the slope of a line as follows:

$m=\frac{y_2-y_1}{x_2-x_1}$

Then, the slope is equal to:

$m=\frac{4-0}{4-(-2)}=\frac{4}{4+2}\Rightarrow m=\frac{4}{6}=\frac{2}{3}\Rightarrow m=\frac{2}{3}$

Therefore, the slope of this line is equal to m = 2/3.