Question

homework: graph linear equations
an ice cream cone costs $5 and each additional topping
costs $0.75.

write the linear equation in slope - intercept form.

graph the linear equation using the slope and y - intercept.

Explanation:

Step1: Define Variables

Let \( x \) be the number of toppings, and \( y \) be the total cost (in dollars).

Step2: Identify Slope and Intercept

The cost of the ice cream cone (\$5) is the y - intercept (LXI0) because it's the cost when there are 0 toppings (LXI1). The cost per topping (\$0.75) is the slope (\( m = 0.75 \)) as it's the rate of change of the total cost with respect to the number of toppings.

Step3: Write Slope - Intercept Form

The slope - intercept form of a linear equation is \( y=mx + b \). Substituting \( m = 0.75 \) and \( b = 5 \) into the formula, we get \( y = 0.75x+5 \).

Answer:

The linear equation in slope - intercept form is \( y = 0.75x + 5 \)