Graphing Equations in Two Variables

This video tutorial covers graphing equations in two variables, focusing on equations like y = x + 1, y = 2x, and y = x + 3. It explains how to find solutions using ordered pairs, create tables of values, and plot these on a graph. The tutorial emphasizes that every point on the line represents a solution to the equation, including fractional coordinates. The video concludes with a preview of the next module on the area of a parallelogram.

What is an ordered pair that makes an equation true called?

• A function

• A solution

• A coordinate

• A variable

What does the graph of an equation represent?

• All rational numbers

• All ordered pairs that are solutions

• All possible y values

• All possible x values

If x is 2 in the equation y = x + 1, what is y?

• 2

• 4

• 3

• 1

What is the ordered pair for x = 3 in the equation y = x + 1?

• (3, 4)

• (3, 6)

• (3, 3)

• (3, 5)

In the equation y = 2x, what is y when x is 1?

• 4

• 3

• 2

• 1

What is the ordered pair for x = 2 in the equation y = 2x?

• (2, 3)

• (2, 2)

• (2, 4)

• (2, 5)

What is the y value when x is 0 in the equation y = x + 3?

• 0

• 1

• 2

• 3

For the equation y = x + 3, what is the ordered pair when x is 4?

• (4, 5)

• (4, 6)

• (4, 7)

• (4, 8)

What should be added to the end of a line on a graph to show that solutions continue?

• A dot

• A circle

• A square

• An arrowhead

What is the next module about after module 12?

• Graphing equations

• Volume of shapes

• Area of a parallelogram

• Solving equations