Question

UnitWhat is the slope of the line graphed below?(2,3)(1.-2)Α. Η8Β. 5C. -5Ο ΟD.

Answer 1

Step 1: Write out the formula

`m=(y_2-y_1)/(x_2-x_1)`
`\begin{gathered} \text{Where} \\ m=\text{ the slope of the line betw}een\text{ the points (x1,y1) and (x}2,y2) \\ x_1=\text{ the x-coordinate of the first point} \\ y_1=\text{ the y-coordinate of the first point} \\ x_2=\text{ the x-coordinate of the second point} \\ y_2=\text{ the y-coordinate of the second point} \end{gathered}`

Step 2: Write out the given values and substitute them into the equation

`\begin{gathered} x_1=2 \\ y_1=3 \\ x_2=1 \\ y_2_{}=-2 \end{gathered}`

Therefore,

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ m=\text{ }(-2-3)/(1-2) \\ m=(-5)/(-1) \\ m=\text{ 5} \end{gathered}`

Hence the slope of the line between the two points = 5