Question

type a second equation to graph a line that will make a system of equations with infinite many solutions.
y = 3x + 2

Explanation:

Step1: Recall infinite solutions condition

A system has infinite solutions if the second equation is a non-zero scalar multiple of the first equation, meaning it represents the same line.

Step2: Multiply the given equation by a scalar

Take the given equation $y = 3x + 2$, multiply all terms by 2:
$2y = 6x + 4$ (or rearranged to $y = 3x + 2$ multiplied by any non-zero constant, e.g., $3y = 9x + 6$ also works)

Answer:

$\boldsymbol{2y = 6x + 4}$ (any non-zero scalar multiple of $y=3x+2$ is valid)