Question

What is the slope of the line that passes through

the points (8, 12) and (-10, 4)?

Please complete step by step.

Answer 1

Option B

ANSWER:

The slope of the required line is
`(8)/(9)`

SOLUTION:

Given, two points are (8, 12) and (-10, -4).

We need to find the slope of a line that passes through the given two points.

We know that, formula for slope of a line when two points on it are given is

`\mathrm{m}=(y_(2)-y_(1))/(x_(2)-x_(1))`

where, m is the slope of required line

`\underline{x}_(1), \mathrm{y}_(1)` are x, y co-ordinates of first point.

`\mathrm{x}_(2), \mathrm{y}_(2)` are x, y co-ordinates of second point.

Here, in our problem
`\mathrm{x}_(1)=8, \mathrm{y}_(1)=12, \mathrm{x}_(2)=-10, \mathrm{y}_(2)=-4`

`\begin{array}{l}{\mathrm{m}=(-4-12)/(-10-8)} \\\\ {\mathrm{m}=(-16)/(-18)} \\\\ {\mathrm{m}=(8)/(9)}\end{array}`

Hence the slope of the required line is
`(8)/(9)`