Question

A line contains the points (82,−96) and (87,−86) .

Answer 1

A line contains the points (82,−96) and (87,−86)

To find slope of a line we use formula

We are given with two points (x1,y1) and (x2,y2)

x1= 82, y1=-96, x2=87, y2=-86

plug in all the values in the formula

$slope =\frac{ (y_2-y_1)}{x_2 - x_1}$

$slope =\frac{ (-86-(-96))}{87-82}$

$slope =\frac{ (10)}{5}=2$

Slope of the line = 2

Answer 2

The slope is (change in y)/(change in x)= (y1-y2)/(x1-x2). It doesn't matter which values y1 and x1 are as long as they come from the same point, so we can have (-96-(-86))/(82-87)=-10/-5=2 as the slope