Question

Find the value of r in(4,r) (r,3) so that the slope of the line containing them is 0

Answer 1

r = 3.

Explanation:

Equation of a line:

The equation of a line has the following format:

`y = mx + b`

In which m is the slope.

Finding the slope of a line, given two points:

When we are given two points of a line, the slope of the line is given by the change in y divided by the change in x.

Points (4,r), (r,3)

Change in y: 3 - r

Change in x: r - 4

Slope is 0, so:

`(3 - r)/(r - 4) = 0`

`3 - r = 0`

`r = 3`

The value is r = 3.