Question

Find the slope, m out the line that passes through the points (8,2) and (-7,-3)

Answer 1

m = 1/3

Explanation:

Given two points on a line, we can find the slope of the line using the slope formula, which is given by:

m = (y2 - y1) / (x2 - x1), where

• m is the slope,
• (x1, y1) is one point on the line,
• and (x2, y2) is another point on the line.

Thus, we can plug in (8, 2) for (x1, y1) and (-7, -3) for (x2, y2) to find m, the slope of the line passing through the two points:

m = (-3 - 2) / (-7 - 8)

m = -5 / -15

m = 1/3

Thus, the slope, m, of the line passing through the points (8, 2) and (-7, -3) is 1/3.

Answer 2

The slope is:

↬ 1/3

Work/explanation:

Use the slope formula:

`\bf{m=(y_2-y_1)/(x_2-x_1)}`

where m = slope;

(x₁, y₁) is a point;

(x₂, y₂) is another point.

Label the values:

m is unknown;

(x₁, y₁) is (8,2);

(x₂, y₂) is (-7, -3).

Plug in the data:

`\bf{m=(-3-2)/(-7-8)}`

Simplify both the numerator and the denominator

`\bf{m=(-5)/(-15)}`

`\bf{m=(5)/(15)}`

`\bf{m=(1)/(3)}`

Hence, the slope is 1/3