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Anastasy [175]
2 years ago
9

Write the equation of the line passing through the point (-4 "-7)" and (8 "-17)"

Mathematics
1 answer:
kicyunya [14]2 years ago
5 0

Answer:

y  = -\dfrac{5}{6} x -\dfrac{31}{3}

In order to find equation:

<u>Find slope</u>:

\sf  slope: \dfrac{y_2 - y_1}{x_2- x_1}  = \dfrac{rise}{run}

\rightarrow \sf slope:  \dfrac{-17-(-7)}{8-(-4)}

\rightarrow \sf  slope: -\dfrac{5}{6}

Then find equation using:

y - y1 = m(x -x1) where (x1, y1) are points, m is slope

\sf \rightarrow y - (-17) = -\dfrac{5}{6} (x - 8)

\sf \rightarrow y  = -\dfrac{5}{6} x + \dfrac{20}{3} -17

\sf \rightarrow y  = -\dfrac{5}{6} x -\dfrac{31}{3}

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<img src="https://tex.z-dn.net/?f=p%5E%7B2%7D%20%2B6p%3Dq%5E%7B2%7D%2B6q.%5C%5Cp%5Cneq%20q.%5C%5CSolve%20for%20p%2Bq." id="TexFo
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