Answer:
m=3/4
Step-by-step explanation:
First, let us remind ourselves of the slope formula: m=rise/run=([tex]y_{2}[/tex]-[tex]y_{1}[/tex])/([tex]x_{2}[/tex]-[tex]x_{1}[/tex])
Let's pick two points from the graph to work with. Let's do (3,-6) and (-1,-9).
And let 3=[tex]x_{1}[/tex], -6=[tex]y_{1}[/tex], -1=[tex]x_{2}[/tex], -9=[tex]y_{2}[/tex].
1. Substitute the values into the slope formula: [-9-(-6)]/(-1-3)
2. simplify the expression: [-9-(-6)]/(-1-3)=(-9+6)/-4=-3/-4=3/4
3. As a result, the slope of the line is 3/4
