Answer:
m = -2
Step-by-step explanation:
Hi there!
We are given the points (9, 1) and (10, -1) and we want to find the slope that passes through these 2 points
The formula for the slope (m), calculated from two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] are points
We have everything we need to find the slope, but let's label the values of the points to avoid confusion.
[tex]x_1=9\\y_1=1\\x_2=10\\y_2=-1[/tex]
Now substitute these values into formula to find the slope
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-1-1}{10-9}[/tex]
subtract
m=[tex]\frac{-2}{1}[/tex]
Simplify
m=-2
The slope of the line is -2
Hope this helps! :)
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