Question

What is the slope of the line that passes through the points left bracket, minus, 5, comma, 6, right bracket(−5,6) and left bracket, minus, 9, comma, minus, 6, right bracket(−9,−6)? Write your answer in simplest form

Answer 1

The slope of the line passing through the points (-5,6) and (-9,-6) is calculated using the slope formula and results in a positive slope of 3.

Step-by-step explanation:

The slope of a line can be calculated using the formula slope = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are coordinates of two distinct points on a line. Applying this formula to the points (-5,6) and (-9,-6), we get:

slope = (-6 - 6) / (-9 - (-5))

slope = (-12) / (-4)

slope = 3

The slope of the line in simplest form that passes through the given points is 3 which indicates a positive slope.