Question

The slope of a line parallel to a line passing through two points $(3,4)$ and $(7,8)$ is ___ .

Answer 1

The slope of a line passing through points $(x_1,y_1$ and $(x_2,y_2)$ is $\frac{y_2-y_1}{x_2-x_1}$.

Given the two points are $(3,4)$ and $(7,8)$.

Substituting in the equation gives slope = $\frac{8-4}{7-3}=\frac{4}{4}=1$.

The slopes of any two parallel lines are equal.