Convert to Slope-Intercept

To convert the given inequalities to slope-intercept form (y = mx + b), we will solve each inequality for \( y \).

1. For the first inequality:

   \[ 2x + y < -4 \]

   To isolate \( y \), we subtract \( 2x \) from both sides:

   \[ y < -2x - 4 \]

   This is the slope-intercept form of the first inequality: \[ y < -2x - 4 \]

2. For the second inequality:

   \[ -9x + 10y \geq -90 \]

   First, we add \( 9x \) to both sides:

   \[ 10y \geq 9x - 90 \]

   Next, we divide everything by 10 to solve for \( y \):

   \[ y \geq \frac{9}{10}x - 9 \]

   This is the slope-intercept form of the second inequality: \[ y \geq \frac{9}{10}x - 9 \]

Summary:

• The first inequality in slope-intercept form is \( y < -2x - 4 \).
• The second inequality in slope-intercept form is \( y \geq \frac{9}{10}x - 9 \).