Question

100 POINTS

Determine the slope for the line that meets each condition stated. Show your work.


A. Passes through the points (3,5) and (−1,−7)


B. Passes through the points given by the table of values.
x y


−2 -7
-1` −6
0 −5
1 −4
2 −3

Answer 1

Part A)
`m=3`

Part B)
`m=1`

Explanation:

we know that

The formula to calculate the slope between two points is equal to

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

Part A) Determine the slope for the line that passes through the points (3,5) and (−1,−7)

substitute the values in the formula

`m=(-7-5)/(-1-3)`

`m=(-12)/(-4)`

`m=3`

Part B) Determine the slope for the line that passes through the points given by the table of values

Looking at the given table, take two points

(0,-5) and (2,-3)

substitute the values in the formula

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

`m=(2)/(2)`

`m=1`