How do you find the slope of the line that passes through each pair of points. (4, -1),(6, -6)?

1 Answer
May 17, 2016

The slope = - 5 / 2=52

Explanation:

The coordinates are:
( 4 , -1 ) = color(blue)(x_1,y_1(4,1)=x1,y1

( 6 , -6 ) = color(blue)(x_2,y_2(6,6)=x2,y2

The slope is calculated using formula:

Slope =color(blue)((y_2- y_1) / ( x_2- x_1)=y2y1x2x1

= ( - 6 - (-1)) / ( 6-4)=6(1)64

= ( - 6 + 1) / ( 2)=6+12

= ( - 5) / ( 2)=52

The slope = - 5 / 2=52