Question

1. $y \geq -x$

$m = $
$b = $

1. $4x - 2y < -2$

$m = $
$b = $

© 2005, agnes azzolino
www.mathnstuff.com/gif/9x9nono.gif
permission is granted to duplicate as needed for nonprint purposes.

Explanation:

---

Problem 9 Steps:

Step1: Match to slope-intercept form

The inequality $y \geq -x$ can be rewritten as $y \geq -1x + 0$, which follows the slope-intercept form $y = mx + b$, where $m$ is slope and $b$ is y-intercept.

Step2: Identify slope $m$

From $y = -1x + 0$, $m = -1$

Step3: Identify y-intercept $b$

From $y = -1x + 0$, $b = 0$

---

Problem 10 Steps:

Step1: Isolate $y$ in the inequality

Start with $4x - 2y < -2$. Subtract $4x$ from both sides:
$-2y < -4x - 2$

Step2: Solve for $y$ (reverse inequality)

Divide all terms by $-2$, reversing the inequality sign:
$\frac{-2y}{-2} > \frac{-4x}{-2} + \frac{-2}{-2}$
Simplify to get $y > 2x + 1$

Step3: Identify slope $m$

From $y = 2x + 1$, $m = 2$

Step4: Identify y-intercept $b$

From $y = 2x + 1$, $b = 1$

Answer:

For problem 9:

$m = -1$, $b = 0$

For problem 10:

$m = 2$, $b = 1$