Question

What is the slope of the line passing through the following points: `( -1, 5) ,(7, -2)`?

Answer 1

slope = `-7/8`

Explanation:

To find the slope of the line use the 'gradient formula' .

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

where `(x_1 , y_1 ) and (x_2 , y_2 )` are 2 coordinate points on the line.

in this question let `(x_1 , y_1 ) = (-1 , 5 ) , (x_2 , y_2 ) = (7 , -2 )`

substituting these values into the formula to obtain :

`m = ( - 2 - 5 )/(7 - (-1 )) = -7/8`