Question

1. the function relating the cost of framing a picture y to the number of inches of frame x is shown in the graph. write an equation of the line in slope - intercept form that represents this situation. (2 pts)

Explanation:

Step1: Identify intercept point

The line crosses the y-axis at $(0, 6)$, so the y-intercept $b=6$.

Step2: Pick a second point

Choose the point $(8, 8)$ from the graph.

Step3: Calculate the slope

Use slope formula $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{8-6}{8-0}=\frac{2}{8}=\frac{1}{4}$

Step4: Write slope-intercept equation

Substitute $m=\frac{1}{4}$ and $b=6$ into $y=mx+b$

Answer:

$y=\frac{1}{4}x + 6$