complete the point - slope equation of the line through (-5,4) and (1,6). use exact numbers. y - 6 =

Explanation:

Step1: Calculate the slope

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(-5,4)$ and $(x_2,y_2)=(1,6)$. Then $m=\frac{6 - 4}{1-(-5)}=\frac{2}{6}=\frac{1}{3}$.

Step2: Write the point - slope equation

The point - slope form is $y - y_1=m(x - x_1)$. We are given the point $(1,6)$ and we found $m = \frac{1}{3}$, so the equation $y - 6=\frac{1}{3}(x - 1)$. The right - hand side of the given $y - 6=\square$ is $\frac{1}{3}(x - 1)$.

Answer:

$\frac{1}{3}(x - 1)$