Question

Rewrite the equation 5x + y = 12 in slope-intercept form (y = mx + b).

a) y = -5x + 12
b) y = 5x + 12
c) y = -5x - 12
d) y = -x + 12

Answer 1

To rewrite the equation 5x + y = 12 in slope-intercept form (y = mx + b), subtract 5x from both sides of the equation. The correct answer is y = -5x + 12.

Step-by-step explanation:

Equations are mathematical statements that assert the equality of two expressions. They typically involve variables and constants and are used to model relationships, solve problems, and make predictions.

To rewrite the equation 5x + y = 12 in slope-intercept form (y = mx + b), we need to isolate y on one side of the equation. We can achieve this by subtracting 5x from both sides of the equation:

5x + y - 5x = 12 - 5x

y = -5x + 12

So, the correct answer is y = -5x + 12.