Unit 5 lesson 10 Connexus graphing equations and inequalities review

Answer 1

1. What is a linear equation?

A linear equation is an equation that represents a straight line when graphed. It can be written in the form y = mx + b, where m is the slope of the line and b is the y-intercept.

2. How do you graph a linear equation?

To graph a linear equation, you can plot the y-intercept (b) on the y-axis, and then use the slope (m) to find additional points on the line. Connect the points with a straight line to graph the linear equation.

3. What is a linear inequality?

A linear inequality is an inequality that represents a region of the coordinate plane that is shaded to indicate all possible solutions. It can be written in the form y > mx + b, y < mx + b, y ≥ mx + b, or y ≤ mx + b.

4. How do you graph a linear inequality?

To graph a linear inequality, you can first graph the corresponding linear equation. Then, depending on the inequality symbol, shade the region above or below the line (for y > mx + b or y < mx + b) or include the line as part of the solution region (for y ≥ mx + b or y ≤ mx + b).

5. What is the difference between graphing a linear equation and a linear inequality?

When graphing a linear equation, you are representing all the points that satisfy the equation. However, when graphing a linear inequality, you are representing all the points that satisfy the inequality, which may be a shaded region rather than a straight line.