Question $y+6=-5(x-9)$

Studdy Solution

STEP 1

1. The problem asks us to rewrite the equation in a different form.
2. We will aim to rewrite the equation in slope-intercept form, which is $y = mx + b$ .

STEP 2

1. Distribute the term on the right side of the equation.
2. Isolate $y$ to rewrite the equation in slope-intercept form.

STEP 3

Distribute the $-5$ across the terms inside the parentheses on the right side of the equation:
$y + 6 = -5(x - 9)$
$y + 6 = -5x + 45$

STEP 4

Isolate $y$ by subtracting 6 from both sides of the equation:
$y + 6 - 6 = -5x + 45 - 6$
$y = -5x + 39$
The equation is now in slope-intercept form:
$y = -5x + 39$

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