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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 :

calculista

Answer:

Part A) [tex]m=3[/tex]

Part B) [tex]m=1[/tex]

Step-by-step explanation:

we know that

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

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

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

substitute the values in the formula

[tex]m=\frac{-7-5}{-1-3}[/tex]

[tex]m=\frac{-12}{-4}[/tex]

[tex]m=3[/tex]

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

[tex]m=\frac{-3+5}{2-0}[/tex]

[tex]m=\frac{2}{2}[/tex]

[tex]m=1[/tex]

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