Answer :
Answer:
[tex]slope=-2[/tex]
Step-by-step explanation:
Use the slope formula:
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{rise}{run}[/tex]
The slope is the change from one point to another on a single line. This change is written as the change in y-axis over the change in the x-axis, or rise over run. Insert the appropriate values:
[tex](-4,6)(3,-8)\\(-4_{x_{1}},6_{y_{1}})\\(3_{x_{2}},-8_{y_{1}})\\\\\frac{-8-6}{3-(-4)}[/tex]
Simplify parentheses:
[tex]\frac{-8-6}{3+4}[/tex]
Solve:
[tex]\frac{-14}{7}=-\frac{14}{7}=-\frac{2}{1} =-2[/tex]
The slope is -2.