Question

Convert to Slope-Intercept
2x+y<–4
–9x+10y≥–90

Answer 1

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 \( y \geq \frac{9}{10}x - 9 \).