Question

rewrite the following equation in standard form.
y = -5x + 1
hint: the standard form of a linear equation is ax + by = c where a and b are not both zero, and a, b, and c are integers whose gcf is 1.

Explanation:

Step1: Move x-term to left side

Add $5x$ to both sides:
$5x + y = -5x + 1 + 5x$

Step2: Simplify the equation

Combine like terms:
$5x + y = 1$

Step3: Verify GCF condition

Check GCF of 5, 1, 1: $\text{GCF}(5,1,1)=1$, which meets the requirement.

Answer:

$5x + y = 1$