Question

What is the slope of the line that passes through the points (1,-9) and (4, -7)?

Answer 1

m = 2/3

Step-by-step explanation: We're asked to calculate the slope of a line through two points. To do this, we'll use this formula:

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

Substitute the values.

`\boldsymbol{m=\cfrac{-7-(-9)}{4-1}}`

`\boldsymbol{m=\cfrac{-7+9}{3}}`

`\boldsymbol{m=\cfrac{2}{3}}`

Therefore, the slope is 2/3

Answer 2

• The slope of a line passing through two points can be found using the formula: slope = (change in y-coordinates) / (change in x-coordinates)

• In this case, the two points are (1, -9) and (4, -7). So, the change in y-coordinates is -7 - (-9) = 2, and the change in x-coordinates is 4 - 1 = 3.

• Therefore, the slope of the line passing through these points is: slope = 2 / 3