Solving Linear Equations and Graphs

This video tutorial explains how to solve a system of equations by graphing. It covers graphing two equations in slope-intercept form, identifying the point of intersection as the solution, and verifying the solution using substitution. The tutorial emphasizes the importance of a clear graph for accurate results.

What is the first step in solving a system of equations by graphing?

• Check the solution.

• Find the point of intersection.

• Graph the equations.

• Solve algebraically.

What is the slope of the first equation y = 2x - 3?

• 2

• -3

• 3

• -2

Where does the line of the first equation y = 2x - 3 intersect the y-axis?

• (0, -2)

• (0, 2)

• (0, -3)

• (0, 3)

What is the y-intercept of the second equation y = -2/3x + 5?

• -5

• 3

• -2/3

• 5

What is the slope of the second equation y = -2/3x + 5?

• -3/2

• 2/3

• 3/2

• -2/3

What is the point of intersection of the two lines?

• (3, 3)

• (2, 2)

• (1, 1)

• (0, 0)

What is the first step in verifying the solution by substitution?

• Add the equations.

• Divide by a constant.

• Replace y in one equation.

• Multiply by a constant.

What do you get when you multiply the equation 2x - 3 = -2/3x + 5 by 3?

• 6x - 9 = 2x + 15

• 6x + 9 = 2x - 15

• 6x + 9 = -2x - 15

• 6x - 9 = -2x + 15

What is the value of x when solving 6x + 2x = 24?

• 4

• 5

• 3

• 2

What is the final solution for the system of equations?

• (4, 4)

• (3, 3)

• (5, 5)

• (2, 2)