Question

1. find the slope from the table.

a 4
b 0.25
c -4
d -0.25

1. what is y-intercept?

a 7
b 3
c 8
d 2

1. find the slope from the table:

a -0.4
b 0.4
c -2.5
d 2.5

Explanation:

Problem 16:

Step1: Recall slope formula

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

Step2: Pick two table points

Use $(x_1,y_1)=(0,5)$ and $(x_2,y_2)=(1,1)$

Step3: Calculate slope

$m = \frac{1 - 5}{1 - 0} = \frac{-4}{1} = -4$

Problem 17:

Step1: Define y-intercept

The y-intercept is $y$ when $x=0$

Step2: Locate $x=0$ in table

When $x=0$, $y=7$

Problem 18:

Step1: Recall slope formula

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

Step2: Pick two table points

Use $(x_1,y_1)=(-4,10)$ and $(x_2,y_2)=(-6,15)$

Step3: Calculate slope

$m = \frac{15 - 10}{-6 - (-4)} = \frac{5}{-2} = -2.5$

Answer:

1. C. -4
2. A. 7
3. C. -2.5