Question

Find the slope of the line on the attached graph

Answer 1

$slope=\frac{3}{4}$

Explanation

Slope describes the steepness of a line. The slope of any line remains constant along the line.to find the slope we need to apply the formula

$\begin{gathered} slope=\frac{change\text{ in y}}{change\text{ in x}}=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1} \\ where \\ P1(x_1,y_1)\text{ and} \\ P2(x_2,y_2)\text{ are 2 points from the line} \end{gathered}$

Step 1

a) pick up 2 points from the line ( the indicated points in the graph)

let

$\begin{gathered} P1(-4,-2) \\ P2(4,4) \end{gathered}$

b) now, replace and evaluate

$\begin{gathered} slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ slope=\frac{4-(-2)}{4-(-4)}=\frac{6}{8}=\frac{3}{4} \\ slope=\frac{3}{4} \end{gathered}$

so, the slope of the line is 3/4

I hope this helps you