Understanding Linear Functions and Graphs

This video tutorial covers writing linear functions in slope-intercept form, using tables and graphs to find equations, and verifying them with a graphing calculator. It explains how to determine the slope and intercept from ordered pairs and analyze line graphs. The tutorial also covers finding equations for horizontal and vertical lines, emphasizing the patterns in coordinates and the characteristics of these lines.

What is the general form of a linear equation in slope-intercept form?

• y = ax^2 + bx + c

• y = ax + b

• y = mx + b

• y = a/x + b

If the slope of a line is -32, what does this indicate about the line?

• The line is vertical.

• The line decreases as x increases.

• The line is horizontal.

• The line increases as x increases.

How can you verify a linear equation using a graphing calculator?

• By ensuring the function values are all zero.

• By ensuring the function values match the table values.

• By checking if the graph is a circle.

• By checking if the graph is a parabola.

What is the vertical intercept of a line with the equation y = 2x + 5?

• 2

• 5

• -5

• 0

How do you determine the slope of a line from a graph?

• By dividing the change in y by the change in x between two points.

• By finding the x-intercept.

• By measuring the angle of the line.

• By finding the y-intercept.

What is the equation of a horizontal line passing through the point (1, 3)?

• y = 1

• x = 1

• y = 3

• x = 3

Why is the equation of a vertical line not in slope-intercept form?

• Because it has no y-intercept.

• Because the slope is zero.

• Because the slope is undefined.

• Because it is a quadratic equation.

What pattern do the coordinates of points on a horizontal line show?

• All x-coordinates are the same.

• All y-coordinates are the same.

• All coordinates are zero.

• All coordinates are different.

What is the equation of a vertical line passing through the point (1, 3)?

• y = 1

• y = 3

• x = 3

• x = 1

What is the slope of a horizontal line?

• Zero

• Undefined

• Positive

• Negative