Question

a line has a slope of 1 and a y-intercept of -6. write its equation in slope-intercept form. write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Recall slope-intercept form

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

Step2: Substitute given values

Substitute $m = 1$ and $b = -6$ into the formula.
$y = 1 \cdot x + (-6)$

Step3: Simplify the equation

Simplify the expression to get the final equation.
$y = x - 6$

Answer:

$y = x - 6$