Question

What is the slope of a line parallel to line p?

Answer 1

Answer:

$\displaystyle m=\frac{2}{3}$

Step-by-step explanation:

The Slope of a Line

To completely define a straight line, we only need two points through which is passes.

Given two points (a,b) and (c,d), the slope of the line passing through them is given by

$\displaystyle m=\frac{d-b}{c-a}$

Line p shown in the graph goes through the points (0,1) (3,3). Calculating the slope we get

$\displaystyle m=\frac{3-1}{3-0}=\frac{2}{3}$

Two parallel lines have the same slope, thus the slope of a line parallel to the line p is also

$\displaystyle m=\frac{2}{3}$