Question

Determine the slope of the line that passes through the following points: (8,−3) and (6,−7)

Answer 1

The slope of a line passing through two points (x1,y1) and (x2,y2) can be calculated using the formula:

slope = (y2-y1)/(x2-x1)

In this case, the two points are (8,-3) and (6,-7), so:

slope = (-7-(-3))/(6-8)

slope = (-7+3)/(-2)

slope = -4/(-2)

slope = 2

Therefore, the slope of the line passing through (8,-3) and (6,-7) is 2.

Answer 2

2

Explanation:

To find the slope from two points, we can use the slope equation

m = ( y2-y1)/(x2-x1)

= ( -7 - -3)/( 6 - 8)

= (-7+3)/(6-8)

= -4/-2

= 2