write an equation in slope - intercept form for the line with y - intercept 7 and slope - 6.

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

Given $m=-6$ and $b = 7$, substituting into the formula gives $y=-6x + 7$.

Answer:

$y=-6x + 7$