Graphing, Equations, and Inequalities Unit Review Unit 5 lesson 10

Answer 1

1. What is the equation of a vertical line passing through the point (3, -2)?
- Since a vertical line is parallel to the y-axis, its equation will be x = 3.

2. Solve the equation 3x + 4 = 13.
- Subtract 4 from both sides: 3x = 9
- Divide both sides by 3: x = 3

3. Graph the inequality y < 2x - 1.
- First, graph the line y = 2x - 1 using a dashed line (since the inequality is not inclusive).
- Next, shade the area below the line to represent the inequality y < 2x - 1.

4. Solve the inequality 4x + 5 ≥ 17.
- Subtract 5 from both sides: 4x ≥ 12
- Divide both sides by 4: x ≥ 3

5. Find the y-intercept of the equation y = -2x + 5.
- The y-intercept is the point where x = 0, so substitute x = 0 into the equation: y = -2(0) + 5 = 5. Therefore, the y-intercept is (0, 5).