What is the slope of the line through (-7,-8)(−7,−8)left parenthesis, minus, 7, comma, minus, 8, right parenthesis and (0,4)(0,4

Question

9 months ago

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What is the slope of the line through (-7,-8)(−7,−8)left parenthesis, minus, 7, comma, minus, 8, right parenthesis and (0,4)(0,4

)left parenthesis, 0, comma, 4, right parenthesis?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
\dfrac{12}{7}
7
12

start fraction, 12, divided by, 7, end fraction

(Choice B)
B
-\dfrac{7}{12}−
12
7

minus, start fraction, 7, divided by, 12, end fraction

(Choice C)
C
-\dfrac{12}{7}−
7
12

minus, start fraction, 12, divided by, 7, end fraction

(Choice D)
D
\dfrac{7}{12}
12
7

Mathematics

1 answer:

Amanda [17] · Answer 1 · 2024-05-18T19:15:06+03:00

The slope of the line that passes through (-7,-8) and (0, 4) is 12/7

<h3>How to calculate the slope of the line?</h3>

From the question, the points are given as

(-7,-8)(-7,-8) and (0, 4)(0, 4)

Rewrite the above points properly

So, we have the following ordered pairs

(-7,-8) and (0, 4)

The slope of the line is then calculated using the following slope equation

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (-7,-8) and (0, 4)

Substitute the known values in the above equation

So, we have the following equation

Slope = (4 + 8)/(0 + 7)

Evaluate

Slope = 12/7

Hence, the slope of the line is 12/7