Question

1. the graph shows the relationship between the cost of a pizza, y, and the number of toppings, x. write an equation to represent the situation. graph titled cost for pizza with number of toppings on y - axis and cost (presumably) on x - axis, and a line plotted

Explanation:

Step1: Identify two points

From the graph, take points $(x_1,y_1)=(0,6)$ and $(x_2,y_2)=(1,8)$

Step2: Calculate slope $m$

Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{8-6}{1-0}=2$

Step3: Find y-intercept $b$

The y-intercept is the $y$-value when $x=0$, so $b=6$

Step4: Write linear equation

Use slope-intercept form $y=mx+b$
$y=2x+6$

Answer:

$y=2x+6$