Exploring Graphing Linear Functions for 6th Grade

The video tutorial explains how to graph linear functions by calculating the value of y for different x values using the equation y = 2x + 1. It provides step-by-step calculations for x values of 1, -1, -3, and -7. The tutorial then demonstrates how to plot the function y = x + 2 by substituting x values and plotting the resulting points on a coordinate grid. The video concludes with a demonstration of drawing a straight line through the plotted points to complete the graph of the linear function.

What is the value of y when x = 1 in the function y = 2x + 1?

• 1

• 4

• 2

• 3

Calculate y when x = -1 in the function y = 2x + 1.

• 2

• 1

• 0

• -1

For the function y = 2x + 1, what is y when x = -3?

• -6

• -5

• -3

• -7

What is the value of y when x = -7 in the function y = 2x + 1?

• -14

• -13

• -12

• -11

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

• 1

• 2

• 3

• 4

For the function y = x + 2, what is y when x = 2?

• 5

• 4

• 3

• 2

What is the y-coordinate when x = 3 in the function y = x + 2?

• 5

• 4

• 7

• 6

Where would you plot the point for x = 1 and y = 3 on the coordinate grid?

• (3, 1)

• (1, 3)

• (2, 3)

• (1, 2)

What is the y-coordinate for x = 2 in the function y = x + 2?

• 5

• 4

• 3

• 2

How do you graph a linear function after plotting the points?

• Draw a curve

• Draw a straight line

• Connect the points with a zigzag

• Leave the points unconnected