Question

Find the slope of the line that passes through the pair of points.

Answer 1

Slope : y2 - y1 / x2 - x1

( 2 , 6 ) (7 , 0)

0 - 6 / 7 - 2

- 6 / 5 is the slope

Answer 2

Option B is correct

Slope of the lines that passes through the given points is,
`(-6)/(5)`

Explanation:

Given: The points (2 , 6) and (7 ,0).

Slope of a line identify the direction of a line. To find the slope, you divide the difference of the y-coordinates of two points on a line by the difference of the x- coordinates of those same two points.

For any two points
`(x_1, y_1)` and
`(x_2, y_2)` the slope(m) of a line is given by;

`m = (y_2 -y_1)/(x_2 -x_1)`

Now, substitute the point (2 ,6 ) and ( 7, 0) in the slope formula we have;

`m = (y_2 -y_1)/(x_2 -x_1)=(0 - 6)/(7-2)` =
`(-6)/(5)`

therefore, the slope of the line that passes through the pair of points is;
`(-6)/(5)`