Questions: Write the following inequality in slope-intercept form. 6x - y > -17 Write your answer with y first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.

$Write the following inequality in slope-intercept form. 6x - y > -17 Write your answer with y first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.$

Transcript text: Write the following inequality in slope-intercept form. \[ 6 x-y>-17 \] Write your answer with y first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form. $\square$ Submit Work it out

Solution

Solution Steps

To convert the given inequality into slope-intercept form, we need to solve for $ y $ in terms of $ x $. The slope-intercept form is $ y = mx + b $, where $ m $ is the slope and $ b $ is the y-intercept. We will rearrange the inequality to isolate $ y $ on one side.

Step 1: Rearranging the Inequality

We start with the inequality: \[ 6x - y > -17 \] To isolate $ y $, we can rearrange the terms.

Step 2: Isolating $ y $

Rearranging the inequality gives us: \[ -y > -6x - 17 \] Multiplying both sides by -1 (and reversing the inequality sign) results in: \[ y < 6x + 17 \]