Understanding Linear Equations and Graphing

What is a solution to an equation with two variables?

• A single number

• An ordered pair

• A graph

• A line

In the equation y = mx + b, what does 'm' represent?

• The constant term

• The x-intercept

• The slope

• The y-intercept

How can you find the y-value in a linear equation?

• By guessing

• By substituting a value for x

• By using a calculator

• By drawing a graph

What is the purpose of a t-chart in graphing linear equations?

• To determine intercepts

• To calculate slope

• To find ordered pairs

• To solve equations

How many points are needed to graph a linear equation?

• Three

• Two

• One

• Four

What does the graph of a linear equation represent?

• A quadratic function

• A constant value

• A single solution

• A set of ordered pairs

What is the first step in graphing y = -3x + 2?

• Find the y-intercept

• Identify the slope

• Choose values for x

• Draw the line

How do you handle equations not in y = mx + b form?

• Ignore them

• Rearrange them

• Use a calculator

• Graph them directly

What is the result of dividing both sides of 3x - 2y = 8 by -2?

• y = 3x - 4

• y = -3x + 4

• y = -3x - 4

• y = 3x + 4

Why is it important to choose numbers divisible by the denominator when using a t-chart?

• To avoid fractions

• To simplify calculations

• To ensure accuracy

• To make graphing easier