How to find the y-intercept, if you have coordinates of 2 points?

Question

Raymond Foley · Accepted Answer

Firstly, find the slope using the equation $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ . m is a slope, $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ are two points on the line.
For example,
If we have points $(- 2; - 1)$ and $(4; 3)$
$m = \frac{3 - (- 1)}{4 - (- 2)} = \frac{4}{6} = \frac{2}{3}$
Now, determine the point-slope form of a linear equation $(y - y_{1}) = m (x - x_{1})$ , where $(x_{1}; y_{1})$ is one of the points
Use our example,
$(y - (- 1)) = \frac{2}{3} (x - (- 2)) =$
$(y + 1) = \frac{2}{3} (x + 2)$
Convert it into the slope-intercept form $y = m x + b$ , 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

Cleveland Walters · Accepted Answer

The y-intercept is 1

How to find the y-intercept, if you have coordinates of

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