# How do you write an equation of a line given (-3, 7) and (2,4)?

In general the line through $\left(a , b\right)$ and $\left(c , d\right)$ is $\left(y - b\right) \left(c - a\right) = \left(x - a\right) \left(d - b\right)$ so here that's $5 \left(y - 7\right) = - 3 \left(x + 3\right)$.