Answer:
[tex]\boxed {\tt m=9}[/tex]
Step-by-step explanation:
The slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where (x₁, y₁) and (x₂, y₂) are the points the line passes through.
The points given are: (-7,-2) and (-6,7). Therefore,
[tex]x_1= -7 \\y_1= -2 \\x_2=-6 \\y_2= 7[/tex]
Substitute the values into the formula.
[tex]m=\frac{7--2}{-6--7}[/tex]
[tex]m=\frac{7+2}{-6+7}[/tex]
Solve the numerator by adding 7 and 2.
[tex]m=\frac{9}{-6+7}[/tex]
Solve the numerator by adding 7 to -6.
[tex]m=\frac{9}{1}[/tex]
Divide 9 by 1.
[tex]m=9[/tex]
The slope of the line is 9.
