Example 3 Write each equation in slope-intercept form. 5 y-2=-(4)/(3)(x+6)

Question

Answer 1

The equation in slope-intercept form is \(y=-\frac{4}{3}x-6

Answer 2

## Step 1The given equation is \(y-2=-\frac{4}{3}(x+6)\). The slope-intercept form of a linear equation is

, where

is the slope and

is the y-intercept.## Step 2To convert the given equation into slope-intercept form, we need to distribute the

across the terms in the parentheses.###

## Step 3Simplify the equation by multiplying

with 6.###

## Step 4Finally, add 2 to both sides of the equation to isolate

.###

Problemas