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Sagot :
The points we have are:
(9,-8) and (2,-1)
And we need to find the slope between the two points.
Step 1. Label the coordinates as follows:
[tex]\begin{gathered} x_1=9 \\ y_1=-8 \\ x_2=2 \\ y_2=-1 \end{gathered}[/tex]Step 2. Use the slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Where m is the slope.
Step 3. Substitute the values of x1, y1, x2, and y2:
[tex]m=\frac{-1-(-8)}{2-9}[/tex]Step 4. Solve the operations to find the slope.
First, we simplify the numerator as follows:
[tex]m=\frac{-1+8}{2-9}[/tex]Because -(-8) is equal to +8.
Next, We make the addition on the numerator and the subtraction on the denominator of the expresion:
[tex]m=\frac{+7}{-7}[/tex]Finally, we make the division +7 by -7 which results in -1:
[tex]m=-1[/tex]The slope between the points is 1.
Answer: 1
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