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Sagot :
Step 1. The two points we have are:
[tex]\begin{gathered} (-26,-37) \\ \text{and} \\ (-32,-61) \end{gathered}[/tex]we will label these points as (x1,y1) and (x2,y2):
[tex]\begin{gathered} x=-26 \\ y_1=-37_{} \\ x_2=-32 \\ y_2=-61 \end{gathered}[/tex]Step 2. Now that we have labeled the points, we can use the slope formula to find the slope ''m'' of the line:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Substituting the known values:
[tex]m=\frac{-61-(-37)}{-32-(-26)}[/tex]Step 3. Simplify the signs in the operations.
-(-37) is +37,
and -(-26) is +26:
[tex]m=\frac{-61+37}{-32+26}[/tex]Step 4. Make the operations:
[tex]m=\frac{-24}{-6}[/tex]The result of this division is:
[tex]m=4[/tex]The slope of the line is 4.
Answer:
4
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