Writing Systems of Linear Equations from Graphs and Tables

This video tutorial covers how to write and solve systems of equations using graphs and tables. It explains the process of identifying slopes and y-intercepts, converting equations to standard form, and finding solutions through graph intersections. The tutorial also includes real-world examples, such as calculating movie costs and modeling a slime business, to demonstrate practical applications of systems of equations.

What are the two key components needed to write a linear equation?

• Y-intercept and x-intercept

• Slope and a point

• Slope and y-intercept

• Slope and x-intercept

What is the solution to a system of equations?

• The point where the lines are parallel

• The point where the lines intersect

• The point where the lines diverge

• The point where the lines are perpendicular

What is the standard form of the equation y = 1/2x + 5?

• x + 2y = -10

• x - 2y = -10

• x + 2y = 10

• x - 2y = 10

How do you find the slope from a table of values?

• Divide y1 by x1

• Subtract y1 from y2 and divide by the difference of x1 and x2

• Add y1 and y2 and divide by the sum of x1 and x2

• Multiply y1 by x2 and divide by x1

What is the slope of the line passing through the points (2, 0) and (4, 6)?

• 3

• 2

• 4

• 1

What is the y-intercept of the equation y = 3x - 6?

• 6

• -6

• 0

• 3

What is Isaiah's equation for the cost of movies?

• y = 20x + 5

• y = 5x

• y = 5x + 20

• y = 10x

At what point do Isaiah and Gabe's movie costs become equal?

• (2, 20)

• (2, 40)

• (4, 40)

• (4, 20)

What is Jackson's equation for the cost of slime?

• y = 4x + 1

• y = 9x + 1

• y = x + 9

• y = 4x

What is the solution to Jackson and Caden's system of equations?

• (1, 9)

• (2, 10)

• (4, 16)

• (3, 12)