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Find the slope of the line passing through the points (-2, 3) and (-8, 8). Fill in the blanks below. Find the slope of the line passing through the points (-7, 6) and (3,6). slope: ___

Find the slope of the line passing through the points (-2,9) and (-2,5). slope: ___

User Kalliopi
by
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1 Answer

2 votes

Answer:


\begin{gathered}\longrightarrow\sf{m=-(5)/(6)\\\longrightarrow\sf{m=0}\\\longrightarrow\sf{m=not\:de fined}}\end{gathered}

In-depth explanation:

Hi there, let's find the slope.

Main Idea: To find the slope, use the formula:


\sf{m=(y_2-y_1)/(x_2-x_1)}

Where:

  • m = slope


\rule{350}{1}

Question 1

Find the slope of the line passing through the points (-2, 3) and (-8, 8)

Plug the data into the formula:


\sf{m=(y_2-y_1)/(x_2-x_1)}


\sf{m=(8-3)/(-8-(-2))}


\sf{m=(5)/(-8+2)}


\sf{m=(5)/(-6)}


\boxed{\bf{m=-(5)/(6)}}

Therefore, the slope of the line that passes through the points (-2,3) and (-8,8) is -5/6.


\rule{350}{1}

Question 2

Find the slope of the line passing through the points (-7, 6) and (3,6)

Plug the data into the formula:


\sf{m=(6-6)/(3-(-7))}


\sf{m=(0)/(3+7)}


\sf{m=(0)/(10)}


\boxed{\bf{m=0}}

Therefore, the slope of the line passing through the points (-7,6) and (-3,6) is 0.


\rule{350}{1}

Question 3

Find the slope of the line passing through the points (-2,9) and (-2,5).

Plug the data into the formula:


\sf{m=(5-9)/(-2(-2))}


\sf{m=(5-9)/(-2+2)}


\sf{m=(-4)/(0)}


\boxed{\bf{m=not\:de fined}}

Therefore, the slope of the line that passes through (-2,9) and (-2,5) is not defined.

User Stafford Rose
by
8.2k points

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