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marysya [2.9K]
3 years ago
12

Write the point-slope form of the equation of the line through the given points through: (-3,-1) and (-2,5)?

Mathematics
1 answer:
nevsk [136]3 years ago
7 0

The point-slope form of the equation of the line through the given points through: (-3,-1) and (-2,5) is y + 1 = 6x + 18

<u>Solution:</u>

Given, two points are (-3, -1) and (-2, 5)

We have to find that a line that passes through the given two points.

First let us find the slope of the line that passes through given two points.

<em><u>The slope of line "m" is given as:</u></em>

\text { slope of line } m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

\text { where, }\left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right) \text { are two points on line. }

Now, let us find the line equation using point slope form

y-y_{1}=m\left(x-x_{1}\right)

where m is slope

\begin{array}{l}{\text { Then, line equation } \rightarrow y-(-1)=6(x-(-3))} \\\\ {\rightarrow y+1=6(x+3)} \\\\ {\rightarrow y+1=6 x+18}\end{array}

Hence the point slope form is y + 1 = 6x + 18

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