Question

What is the equation of the line passing through the points (–2, 3) and (1, 4)?

Answer 1

\[m = \frac{ y_{2}-y _{1} }{ x _{2}-x _{1} }\]

m is your slope

\[(-2,3) ~ \implies ~ (x_1,y_1)\]

\[(1,4) ~ \implies ~ (x_2, y_2)\]

Answer 2

\[
\frac{y-(3)}{x-(-2)} = \frac{y-(4)}{x-(1)}
\]If you solve for \(y\), you get the answer.

Answer 3

This will actually work more easily:\[
\frac{y-(3)}{x-(-2)} = \frac{(3)-(4)}{(-2)-(1)}
\]If you solve for \(y\), you get the answer.