Approximating Solutions to Systems of Equations by Graphing

This video tutorial teaches how to approximate solutions to systems of equations by graphing. It covers graphing lines in slope-intercept and standard forms, finding intersection points, and understanding that these points represent solutions to the system. The tutorial includes examples of systems with integer and non-integer intersection points, emphasizing approximation when exact solutions are not possible.

What is the y-intercept of the equation y = 3x - 4?

• -4

• 3

• 4

• 0

How do you find the x-intercept of the equation 3x + y = 2?

• Set x to 1 and solve for y

• Set y to 0 and solve for x

• Set x to 0 and solve for y

• Set y to 1 and solve for x

What does the intersection point of two lines on a graph represent?

• The average of the slopes

• The midpoint of the lines

• The y-intercept of the first line

• The solution to both equations

If a system of equations has an intersection point at (1, -1), what does this point signify?

• The solution to the system

• The y-intercept of both lines

• The lines are parallel

• The x-intercept of both lines

When graphing the system 2x + 1 = y and 2x + 2y = 10, what is the approximate solution?

• (3, 3)

• (1, 1)

• (2, 2)

• (1/4, 1/4)