Exercise 30 Page 193

In order to determine the relationship between the lines, let's calculate each of their slopes.

We are given the points

A (4, 2)

and

B (- 3, 1),

which lie on line

A B .

Let's substitute them into the Slope Formula and calculate the slope.

m_{1} = \frac{y _{2} - y _{1}}{x _{2} - x _{1}}

Substitute $(4, 2)$ & $(- 3, 1)$

m_{1} = \frac{1 - 2}{- 3 - 4}

Subtract terms

m_{1} = \frac{- 1}{- 7}

$\frac{- a}{- b} = \frac{a}{b}$

m_{1} = \frac{1}{7}