Question

Without graphing, find the slope of the line that goes through each pair of coordinate points. (0,5) and (8,2 ) [Choose ] (2,-1) and (6, 1) [ Choose ] (-3,-2) and (- 1,-5) [ Choose]

Answer 1

Answers:

(0,5) and (8,2 ) = 2/3

(2,-1) and (6, 1) = 1/2

(-3,-2) and (- 1,-5) = -3/2​

Step-by-step explanation:

The slope of a line that goes through two points (x1, y1) and (x2, y2) can be calculated as:

`m=(y_2-y_1)/(x_2-x_1)`

So, the slope of a line that goes through (0,5) and (8,2) is equal to:

`m=(2-0)/(8-5)=(2)/(3)`

The slope of a line that goes through (2, -1) and (6, 1) is:

`m=(1-(-1))/(6-2)=(1+1)/(4)=(2)/(4)=(1)/(2)`

The slope of a line that goes through (-3, -2) and (-1, -5) is:

`m=(-5-(-2))/(-1-(-3))=(-5+2)/(-1+3)=-(3)/(2)`

Therefore, the answers are:

(0,5) and (8,2 ) = 2/3

(2,-1) and (6, 1) = 1/2

(-3,-2) and (- 1,-5) = -3/2​