Question

Find the slope of the line that goes through the points A(-6, -9) and B(8, 19)

Answer 1

Answer: The slope is 2.

Explanation:

To find the slope of a line that goes through two points, we can use the formula:

slope = (change in y-coordinates) / (change in x-coordinates)

Let's use the points A(-6, -9) and B(8, 19) to calculate the slope.

The change in y-coordinates is: 19 - (-9) = 28

The change in x-coordinates is: 8 - (-6) = 14

Now, we can substitute these values into the formula:

slope = 28 / 14

Simplifying this expression, we get:

slope = 2

Therefore, the slope of the line that goes through the points A(-6, -9) and B(8, 19) is 2.

Answer 2

the slope is 2

Explanation: We're asked to compute the slope of a line between two points, which are: (-6,9) and (8,19).

To do this, we'll use this formula:

`\LARGE\boldsymbol{\it{m=\cfrac{y_2-y_1}{x_2-x_1}}}`

Substitute our values:

`\sf{m=\cfrac{19-(-9)}{8-(-6)}=\cfrac{19+9}{8+6}=\cfrac{28}{14}=\boxed{2}`

Therefore, the slope is 2