Question

Please help I don’t understand (there are two parts to the question you have to graph the rise and run and find the slope)

Answer 1

`m=-(9)/(4)`

1) Since the point here is to gradually show how to calculate the slope of that line, using the "run over rise" let's plot the "run" considering the distance between the initial point and the final point of that line as a horizontal line.

Note that, despite the Rise is not perfectly vertical in this sketch, this is the idea.

2) So now, let's pick two points and find the slope. We can see that from

the horizontal line we can pick the displacement and use from the 'rise" line we can pick the rise:

(7,-3) and (3,6)

`m=(y_2-y_1)/(x_2-x_1)=(6-(-3))/(3-7)=-(9)/(4)`

So the slope is -9/4 making use of the algebraic method with the slope-formula.