 # How to find the y-intercept, if you have coordinates of Reginald Metcalf 2021-12-15 Answered
How to find the y-intercept, if you have coordinates of 2 points?
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Firstly, find the slope using the equation $m=\frac{{y}_{2}-{y}_{1}}{{x}_{2}-{x}_{1}}$. m is a slope, $\left({x}_{1},{y}_{1}\right)$ and $\left({x}_{2},{y}_{2}\right)$ are two points on the line.
For example,
If we have points $\left(-2;-1\right)$ and $\left(4;3\right)$
$m=\frac{3-\left(-1\right)}{4-\left(-2\right)}=\frac{4}{6}=\frac{2}{3}$
Now, determine the point-slope form of a linear equation $\left(y-{y}_{1}\right)=m\left(x-{x}_{1}\right)$, where $\left({x}_{1};{y}_{1}\right)$ is one of the points
Use our example,
$\left(y-\left(-1\right)\right)=\frac{2}{3}\left(x-\left(-2\right)\right)=$
$\left(y+1\right)=\frac{2}{3}\left(x+2\right)$
Convert it into the slope-intercept form $y=mx+b$, where $m$ is a slope and $b$ is the y-interxept, by solving for y.
$y+1=\frac{2}{3}x+2$
$y=\frac{2}{3}x+1$
Thus, the slope intercept is 1

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The y-intercept is 1

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