Question

Find the slope of the line on the attached graph

Answer 1

`slope=(3)/(4)`

Step-by-step 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}}=(\Delta y)/(\Delta x)=(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=(y_(2)-y_(1))/(x_(2)-x_(1)) \\ slope=(4-(-2))/(4-(-4))=(6)/(8)=(3)/(4) \\ slope=(3)/(4) \end{gathered}`

so, the slope of the line is 3/4

I hope this helps you