Question

find the slope of each line.
9)
10)
a) $\frac{1}{2}$ b) 1 c) -1 d) $-\frac{1}{2}$
a) 2 b) $\frac{1}{2}$ c) -2 d) $-\frac{1}{2}$

Explanation:

Step1: Recall slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.

Step2: For problem 9

Let's take two points on the line in problem 9, say $(0,0)$ and $(2,2)$. Then $x_1 = 0,y_1=0,x_2 = 2,y_2 = 2$. Substitute into the slope - formula: $m=\frac{2 - 0}{2 - 0}=1$.

Step3: For problem 10

Let's take two points on the line in problem 10, say $(-2,0)$ and $(0,1)$. Then $x_1=-2,y_1 = 0,x_2=0,y_2 = 1$. Substitute into the slope - formula: $m=\frac{1 - 0}{0-(-2)}=\frac{1}{2}$.

Answer:

1. B. 1
2. B. $\frac{1}{2}$