Question

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

Answer 1

Answer:

$\boxed {\tt m=9}$

Step-by-step explanation:

The slope formula is:

$m=\frac{y_2-y_1}{x_2-x_1}$

where (x₁, y₁) and (x₂, y₂) are the points the line passes through.

The points given are: (-7,-2) and (-6,7). Therefore,

$x_1= -7 \\y_1= -2 \\x_2=-6 \\y_2= 7$

Substitute the values into the formula.

$m=\frac{7--2}{-6--7}$

$m=\frac{7+2}{-6+7}$

Solve the numerator by adding 7 and 2.

$m=\frac{9}{-6+7}$

Solve the numerator by adding 7 to -6.

$m=\frac{9}{1}$

Divide 9 by 1.

$m=9$

The slope of the line is 9.

Answer 2

Answer:

gradient = 9

Step-by-step explanation: