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Complete these exercises and check your answers.

**Plot Points in a Rectangular Coordinate System**

In the following exercises, plot each point in a rectangular coordinate system.

557.

559.

**Identify Points on a Graph**

In the following exercises, name the ordered pair of each point shown in the rectangular coordinate system.

561.

**Verify Solutions to an Equation in Two Variables**

In the following exercises, which ordered pairs are solutions to the given equations?

**Complete a Table of Solutions to a Linear Equation in Two Variables**

In the following exercises, complete the table to find solutions to each linear equation.

**Find Solutions to a Linear Equation in Two Variables**

In the following exercises, find three solutions to each linear equation.

**Recognize the Relation Between the Solutions of an Equation and its Graph**

In the following exercises, for each ordered pair, decide:

- Is the ordered pair a solution to the equation?
- Is the point on the line?

**Graph a Linear Equation by Plotting Points**

In the following exercises, graph by plotting points.

**Graph Vertical and Horizontal lines**

In the following exercises, graph each equation.

In the following exercises, graph each pair of equations in the same rectangular coordinate system.

**Identify the - and -intercepts on a Graph**

In the following exercises, find the - and -intercepts.

585.

**Find the - and -Intercepts from an Equation of a Line**

In the following exercises, find the intercepts of each equation.

**Graph a Line Using the Intercepts**

In the following exercises, graph using the intercepts.

In the following exercises, find the slope of each line shown.

607.

609.

**Find the Slope of Horizontal and Vertical Lines**

In the following exercises, find the slope of each line.

**Use the Slope Formula to find the Slope of a Line between Two Points**

In the following exercises, use the slope formula to find the slope of the line between each pair of points.

**Graph a Line Given a Point and the Slope**

In the following exercises, graph each line with the given point and slope.

**Recognize the Relation Between the Graph and the Slope–Intercept Form of an Equation of a Line**

In the following exercises, use the graph to find the slope and -intercept of each line. Compare the values to the equation.

625.

**Identify the Slope and y-Intercept from an Equation of a Line**

In the following exercises, identify the slope and -intercept of each line.

**Graph a Line Using Its Slope and Intercept**

In the following exercises, graph the line of each equation using its slope and -intercept.

In the following exercises, determine the most convenient method to graph each line.

**Graph and Interpret Applications of Slope–Intercept**

641. Marjorie teaches piano. The equation the relation between her weekly profit, , in dollars and the number of student lessons, , that she teaches.

- Find Marjorie's profit for a week when she teaches no student lessons.
- Find the profit for a week when she teaches 20 student lessons.
- Interpret the slope and P–intercept of the equation.
- Graph the equation.

**Find an Equation of the Line Given the Slope and -Intercept**

In the following exercises, find the equation of a line with given slope and -intercept. Write the equation in slope–intercept form.

In the following exercises, find the equation of the line shown in each graph. Write the equation in slope–intercept form.

651.

653.

**Find an Equation of the Line Given the Slope and a Point**

In the following exercises, find the equation of a line with given slope and containing the given point. Write the equation in slope–intercept form.

**Find an Equation of the Line Given Two Points**

In the following exercises, find the equation of a line containing the given points. Write the equation in slope–intercept form.

Source: Rice University, https://openstax.org/books/elementary-algebra-2e/pages/4-review-exercises

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