Question

Use the description of the pair of lines given below to find the slopes of Line 1 and Line 2.

Answer 1

The slope formula is:

$m=\frac{y_2-y_1}{x_2-x_1}$

First, let's solve the slope for Line 1.

a. Subtract y₁ from y₂.

$-10-5=-15$

b. Subtract x₁ from x₂.

$3-0=3$

c. Divide the result in step a by the result in step b.

$-15\div3=-5$

Hence, the slope of Line 1 is -5.

Let's now solve the slope of Line 2. Use the same steps above.

a. Subtract y₁ from y₂.

$38-3=35$

b. Subtract x₁ from x₂.

$6-(-1)=7$

c. Divide the result in step a by the result in step b.

$35\div7=5$

Hence, the slope of Line 2 is 5.