Franklin Middle School is having a canned food drive. In Mr. Lao's class, Mr. Lao brought $10$ cans of food, and each student brought $2$ cans. In Ms. Roger's class, Ms. Rogers did not bring any cans, but each student brought $3$ cans of food. Write two equations in slope-intercept form to represent the number of cans of food for each class $y$ in terms of the number of students $x$ .

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Q. Franklin Middle School is having a canned food drive. In Mr. Lao's class, Mr. Lao brought

10

cans of food, and each student brought

2

cans. In Ms. Roger's class, Ms. Rogers did not bring any cans, but each student brought

3

cans of food. Write two equations in slope-intercept form to represent the number of cans of food for each class

y

in terms of the number of students

x

Determine Equation for Mr. Lao's Class: Determine the equation for Mr. Lao's class. $\newline$ Mr. Lao brought $10$ cans of food, and each student brought $2$ cans. The total number of cans ( $y$ ) is the sum of the cans Mr. Lao brought and the cans brought by the students. $\newline$ The equation will have a starting value ( $y$ -intercept) of $10$ (from Mr. Lao) and a slope of $2$ (each student's contribution).
Write Equation for Mr. Lao's Class: Write the equation for Mr. Lao's class. $\newline$ Using the slope-intercept form $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept: $\newline$ For Mr. Lao's class, $m = 2$ (since each student brings $2$ cans) and $b = 10$ (cans that Mr. Lao brought). $\newline$ So the equation is $y = 2x + 10$ .
Determine Equation for Ms. Roger's Class: Determine the equation for Ms. Roger's class. $\newline$ Ms. Rogers did not bring any cans, but each student brought $3$ cans. The total number of cans ( $y$ ) is just the cans brought by the students. $\newline$ The equation will have a starting value ( $y$ -intercept) of $0$ (since Ms. Rogers brought no cans) and a slope of $3$ (each student's contribution).
Write Equation for Ms. Roger's Class: Write the equation for Ms. Roger's class. $\newline$ Using the slope-intercept form $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept: $\newline$ For Ms. Roger's class, $m = 3$ (since each student brings $3$ cans) and $b = 0$ (since Ms. Rogers brought no cans). $\newline$ So the equation is $y = 3x + 0$ , which simplifies to $y = 3x$ .