Linear Equations and Graphs Concepts

This video tutorial introduces linear equations, explaining how solutions form ordered pairs that make the equation true. It covers graphing linear equations on a coordinate plane and applies these concepts to real-world scenarios, such as calculating distance over time. The tutorial also demonstrates graphing specific equations like Y = X + 3 and deriving equations from graphs. It concludes with additional resources for further learning.

What is a solution of an equation in two variables?

• An ordered pair that makes the equation true

• A single number that satisfies the equation

• A graph that represents the equation

• A line that intersects the y-axis

What shape does the graph of a linear equation form?

• A circle

• A parabola

• A curve

• A straight line

In the equation 2x = y, if x is 3, what is y?

• 12

• 3

• 6

• 9

What is the rate of the car traveling in the example?

• 75 miles per hour

• 60 miles per hour

• 45 miles per hour

• 30 miles per hour

How far does the car travel in 3 hours?

• 120 miles

• 300 miles

• 180 miles

• 240 miles

What is the equation for the car's distance over time?

• y = 30x

• y = 75x

• y = 45x

• y = 60x

What does the line on the graph represent in the car example?

• The car's acceleration

• The car's distance over time

• The car's speed

• The car's fuel consumption

What is the equation of the line graphed with red circles?

• y = x + 5

• y = x + 4

• y = x + 3

• y = x + 2

What is the y-value when x is 2 in the equation y = x + 3?

• 7

• 4

• 5

• 6

How do you find ordered pairs from a graph?

• By guessing

• By using a calculator

• By finding intersections on the graph

• By measuring with a ruler