Graphing Linear Functions and Slope

The video tutorial explains how to graph equations from tables by converting them into slope-intercept form, calculating ordered pairs using input values, and plotting these points on a graph. It also covers identifying the slope and y-intercept from the graph, emphasizing the negative slope when the line goes downhill.

What is the first step in graphing from tables?

• Choose the range values

• Calculate the slope

• Write the equation in slope-intercept form

• Plot the graph

How do you transform the equation 2y = -3x + 0 into slope-intercept form?

• Subtract 2y from both sides

• Divide by 2

• Divide by 3

• Add 3x to both sides

What is the output value when the input is 0 for the equation y = -3/2x?

• 3/2

• -3/2

• 0

• -3

Which of the following ordered pairs is correct for the input value 2?

• (2, -3/2)

• (2, 0)

• (2, 3)

• (2, -3)

Where does the line cross the y-axis in the graph?

• At y = 2

• At y = -1

• At y = 1

• At y = 0

What is the slope of the line in the graph?

• 1.5

• -1

• 1

• -1.5

How can you tell the slope is negative from the graph?

• The line goes uphill

• The line goes downhill

• The line is horizontal

• The line is vertical

What does a negative slope indicate about the direction of the line?

• The line is flat

• The line falls to the right

• The line rises to the right

• The line rises to the left

What is the y-intercept of the equation y = -3/2x + 0?

• 0

• -3

• -3/2

• 3/2

What is the final step in graphing from tables?

• Calculate the range

• Write the equation

• Graph the line

• Choose the domain