Question

interpret the following graph by choosing the correct answer for each part.
misty mountain storm
a) slope =

b) what does the slope represent?

c) (fee/starting value) y - intercept =

d) what does the y - intercept represent?

e) equation:

Explanation:

Step1: Calculate slope using two points

Choose points (0,0) and (5,10). Slope formula: $\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}$
$\text{slope} = \frac{10 - 0}{5 - 0} = 2$

Step2: Interpret the slope

Slope is change in y over x.
Y = snowfall, X = time, so it's snowfall per hour.

Step3: Identify y-intercept

Y-intercept is where $x=0$. From graph, when $x=0$, $y=0$.

Step4: Interpret the y-intercept

At time 0 (start of storm), snowfall is 0 inches.

Step5: Write linear equation

Use $y = mx + b$, where $m=2$, $b=0$.
$y = 2x$

Answer:

A) $2$
B) The rate of snowfall in inches per hour (2 inches of snow per hour)
C) $0$
D) The amount of snowfall at the start of the storm (0 inches of snow at time 0)
E) $y=2x$