Evaluating Linear Equations and Graphs

The video tutorial covers graphing various linear equations by creating tables of values and plotting points. It starts with y = -5x, demonstrating how to use a table of values to find points on the graph. The tutorial continues with y = 1/4x, y = 5, x = -6, y = x - 3, y = -7x - 1, and y = -x/3 + 4, explaining the process of selecting appropriate x-values to simplify calculations and ensure integer results. Each section emphasizes understanding the slope and intercepts to accurately draw the lines.

What is the first step in graphing the equation y = -5x?

• Draw the line directly

• Choose random points

• Create a table of values

• Calculate the slope

If x = -1 in the equation y = -5x, what is the value of y?

• 0

• -1

• 5

• -5

Why is it beneficial to choose multiples of 4 when graphing y = 1/4x?

• To get larger numbers

• To make calculations faster

• To simplify the graph

• To avoid fractions

What is the y-value when x = 4 in the equation y = 1/4x?

• 4

• 2

• 1

• 0

What type of line does the equation y = 5 represent?

• Horizontal line

• Vertical line

• Curved line

• Diagonal line

In the equation x = -6, what is the nature of the line?

• Horizontal

• Diagonal

• Curved

• Vertical

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

• 0

• -3

• 3

• 1

For the equation y = -7x - 1, what is the y-value when x = 1?

• -6

• -8

• -1

• -7

In the equation y = -x/3 + 4, what is the y-value when x = 3?

• 2

• 1

• 3

• 4