What is the slope of the line through (-7,-2) and (-6,7)

Answer 1

You would have to use the following formula:

y₂ - y = m(x₂ - x) where y and x refer to the first y and x values, respetively, and y₂ and x₂ refer to the second values, respectively, and m is the slope.

For our example, I would get m by itself.

y₂ - y/x₂ - x = m

The points being determined x and y are arbitrary so for now I will say point (-7, -2) is the first point X and (-6, 7) is the second point. So we will substitute the following values in:

7 - -2/ -6 - -7 = m

9/1 = m

9 = m

The equation would have a slope of 9.

Answer 2

Use the slope formula (change of y) / (change of x) with the coordinates of the two points you are given.

This formula is also (y2 - y1) / (x2-x1), or "rise over run".

So, (7 - (-2)) / ((-6)-(-7)) gives the slope:

9/1 = 9

Hope this helps

Answer 3

Two points (x1,y1) and (x2,y2)

slope = change in y coordinate/change in x coordinate = (y2-y1)/(x2-x1)

In this problem (x1,y1) = (-7,-2) and (x2,y2) = (-6,7)

Substitute those values for x1,y1,x2 and y2 in the slope equation to determine the slope

(7-(-2))/(-6-(-7)) = 9/1 = 9