Question

Using the slope formula, find the slope of the line through the given points.(-3,-7) and (8,-7)

Answer 1

the slope of the line is 0

Step-by-step explanation

The slope of a line is a measure of its steepness of a line , The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run:

`\begin{gathered} slope=(rise)/(run)=\frac{change\text{ in y}}{change\text{ in x}}=(y_2-y_1)/(x_2-x_1) \\ where \\ P1(x_1,y_1\text{ \rparen and P2\lparen x}_2,y_2)\text{ are 2 points from the line} \end{gathered}`

so

Step 1

given

`\begin{gathered} P1=(-3,-7) \\ P2=(8,-7) \end{gathered}`

replace in the formula

`\begin{gathered} slope=(y_(2)-y_(1))/(x_(2)-x_(1)) \\ slope=(-7-(-7))/(8-(-3))=(-7+7)/(11)=(0)/(11)=0 \end{gathered}`

hence, the slope of the line is 0

I hope this helps you