Solve system of equations by graphing with a fraction at intersection

The video tutorial explains how to solve and graph a system of equations using the slope-intercept form. It begins with an introduction to the Cartesian coordinate system and the slope-intercept formula, Y = MX + B. The tutorial then demonstrates graphing two equations by identifying their Y-intercepts and slopes, plotting points, and drawing lines. The intersection point of the lines is found both graphically and algebraically, confirming the solution as a consistent and independent system. The tutorial concludes with a verification of the solution.

What is the first step in graphing a line using the slope-intercept form?

• Identify the slope

• Identify the y-intercept

• Plot the x-intercept

• Calculate the midpoint

How is the slope of a line typically expressed?

• As a percentage

• As a fraction

• As a whole number

• As a decimal

When plotting the second equation, what is the y-intercept?

• 4

• -8

• -4

• 0

What is the algebraic method used to find the intersection point of two lines?

• Elimination

• Substitution

• Setting equations equal

• Graphing

What is the intersection point of the two lines in the system?

• (1, 1)

• (0, 0)

• (2, 2)

• (4/3, 0)