find the slope of the line passing through the points (8,4) and (8,-8)

Answer 1

Slope is "rise over run" or change is y values divided by change in x values

the change is x values is zero. 8-8=0. Anything divided by zero is infinity.

the slope is infinite. The line connecting the 2 points is a vertical line, x=8.

Vertical lines have infinite slope.

Whether it's negative or positive infinity is indeterminate.

+ infinity or - infinity is the slope.

Answer 2

To find the slope between two points, we use the slope-point formula. If we have two points, (x₁,y₁) and (x₂,y₂), the point slope formula is given by: m=(y₂—y₁)/(x₂—x₁).

m is the variable used to represent slope. We plug in our specific x and y values and simplify to find the slope. The slope can be a fraction or whole number. It can be positive or negative.

So for the points (1,2) and (5,7) the slope, m, would be: m=(7-2)/(5-1) = (5)/(4) = 5/4

In this example, the fraction 5/4 is the slope of the line connecting these two points. Try it on your points and see how it works. Good luck!