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Yanka [14]
2 years ago
7

What is the slope of the line that passes through the points (2, -4) and (5, 2)? Write

Mathematics
2 answers:
Assoli18 [71]2 years ago
7 0

Answer:

Slope: 2

The slope how much y increases when x increases by 1.

Step-by-step explanation:

1. Find the difference between both y-coordinates. (6)

2. Find the difference between both x-coordinates. (3)

Divide the difference between y and x. y/x=2

The slope is 2.

Natasha2012 [34]2 years ago
7 0

Answer:

The slope of line that passes through the points (2, -4) and (5, 2) is 2.

Step-by-step explanation:

Here's the required formula to find slope line :

{\longrightarrow{\pmb{\sf{m =  \dfrac{y_2 - y_1}{x_2 - x_1}}}}}

As per given question we have provided that :

\begin{gathered}\footnotesize\rm {\underline{\underline{Where}}}\begin{cases}& \sf y_2 = 2\\& \sf y_1 =  - 4\\ & \sf x_2 = 5\\ & \sf x_1 =  2\end{cases} \end{gathered}

Substituting the values in the formula to find slope line that passes through the points :

\begin{gathered}\qquad{\longrightarrow{\sf{m =  \dfrac{y_2 - y_1}{x_2 - x_1}}}}\\\\\qquad{\longrightarrow{\sf{m =  \dfrac{(2) - ( - 4)}{5 - 2}}}}\\\\\qquad{\longrightarrow{\sf{m = \dfrac{2 + 4}{3}}}}\\\\\qquad{\longrightarrow{\sf{m =  \dfrac{6}{3}}}}\\\\\qquad{\longrightarrow{\sf{m = 2}}}\\\\\qquad{\star{\underline{\boxed{\sf{\pink{m = 2}}}}}} \end{gathered}

Hence, the slope of line that passes through the points (2, -4) and (5, 2) is 2.

\rule{300}{2.5}

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