Solving Linear Equations Graphically and Finding Triangle Vertices

The video tutorial explains how to solve a system of linear equations graphically. It involves plotting two lines on a graph and finding the vertices of the triangle formed by these lines and the X-axis. The tutorial provides step-by-step instructions for graphing each equation, selecting appropriate values to avoid fractions, and identifying the vertices of the resulting triangle. The solution concludes with a review of the steps taken to solve the problem.

What is the plural form of 'vertex'?

• Vertice

• Vertexes

• Vertex

• Vertices

Why do we need at least two sets of values for X and Y when graphing an equation?

• To determine the y-intercept

• To find the slope of the line

• To draw a straight line on the graph

• To calculate the area under the curve

What is the first set of values for X and Y used to graph the first equation?

• X=2, Y=20/3

• X=6, Y=10

• X=4, Y=0

• X=0, Y=5

What is the second set of values for X and Y used to graph the second equation?

• X=4, Y=0

• X=2, Y=20/3

• X=0, Y=5

• X=6, Y=10

What is the purpose of finding the vertices of the triangle formed by the lines and the X-axis?

• To find the slope of the lines

• To identify the peak points of the triangle

• To determine the intersection points of the lines

• To calculate the area of the triangle

Which of the following is a vertex of the triangle formed by the lines and the X-axis?

• (4, 0)

• (-6, 0)

• (0, 5)

• (2, 3)

What are the coordinates of the vertices of the triangle formed by the two lines and the X-axis?

• (0, 0), (5, 5), (4, 4)

• (-6, 5), (0, 0), (4, 5)

• (6, 0), (0, 5), (4, 10)

• (-6, 0), (0, 5), (4, 0)