Question

write an equation of a line in slope-intercept form with the given slope and y-intercept. slope: 1, y-intercept: -12

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a line is given by the formula $y = mx + b$, where $m$ is the slope of the line and $b$ is the $y$ - intercept.

Step2: Substitute the given values

We are given that the slope $m = 1$ and the $y$ - intercept $b=- 12$. Substituting these values into the slope - intercept form formula $y=mx + b$, we get $y=(1)x+(-12)$.
Simplifying the right - hand side, we have $y = x-12$.

Answer:

$y = x - 12$