Linear Functions and Their Properties

The video tutorial covers graphing linear equations in slope-intercept form, writing equations in y=mx+b form, plotting points to find line intersections, and calculating outputs from given inputs using a function rule. It explains how to identify the y-intercept and slope, plot points, and draw lines through them. The tutorial also demonstrates how to use an equation to find outputs for specific inputs, emphasizing the relationship between x (input) and y (output).

What is the y-intercept of the equation in slope-intercept form?

• -2

• 2

• 3

• 0

If the slope of a line is negative, in which direction does the line move?

• Vertical

• Horizontal

• Upward

• Downward

How many points are needed to draw a line accurately?

• 4

• 1

• 2

• 3

What is the slope of a line if it goes down 2 units and over 3 units?

• 2/3

• 3/2

• -2/3

• -3/2

What is the first step in writing the equation of a line in y = mx + b form?

• Calculate the slope

• Identify the y-intercept

• Identify the x-intercept

• Plot the points

What is the y-intercept of a line that crosses the y-axis at -3?

• 1

• 0

• -3

• 3

How do you find the slope of a line?

• Draw the line

• Identify the x-intercept

• Identify the y-intercept

• Identify two points and calculate rise over run

What is the equation of a line with a slope of 3 and y-intercept of -3?

• y = -3x - 3

• y = 3x + 3

• y = -3x + 3

• y = 3x - 3

What is the first step in plotting a point on a graph?

• Identify the x-coordinate

• Identify the y-coordinate

• Calculate the slope

• Draw the line

Where do two lines intersect if their x-value is -3 and y-value is -1?

• (3, -1)

• (-3, -1)

• (-3, 1)

• (3, 1)