Topic 4 understanding linear relationships

How can you find the slope of a line?

• Slope of a line is the ratio rise/run. You can find the rise/run using the x- and y-coordinates from two points of a line.

• Slope of a line is the ratio run/rise. You can find the run/rise using the x-coordinates from two points of a line.

Is the linear relationship represented by the table a proportional relationship? Explain.

• The ratio of every x,y coordinate in the table is equivalent

• The ratio of every x,y coordinate in the table is nonproportional

• The ratio of every x,y coordinate in the table continues infinitely

• The ratio of every x,y coordinate in the table contains a negative slope

What is the slope of the given line?

• The slope of the line is 1

• The slope of the line is 2

Which equation represents the line passing through points (3, 8) and (6, 16)?

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The graph shows the cost of renting a standard paddleboard per hour including the delivery fee to your location. What is the y-intercept? What does the y-intercept represent?

• The y-intercept is 20.

  y- intercept represents the $20 delivery fee

• The y-intercept is 0.

  y- intercept represents the $0 delivery fee

• The y-intercept is 25.

  y- intercept represents the $25 delivery fee

• The y-intercept is 30.

  y- intercept represents the $30 delivery fee

The Water-Wings boat leaves from a different dock, as shown in the graph at the right. Does the graph represent a proportional relationship? Explain

• No. The graph does not pass through the point (0,0) so the linear relationship is not proportional

• No. The graph does not pass through the point (0,0) so the linear relationship is irreplaceable

• Yes. The graph passes through the point (0,0) so the linear relationship is proportional

• Yes. Because it's a positive slope

What is an equation for the linear relationship in slope-intercept form?

What is an equation for the linear relationship in slope-intercept form?

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Which equation shows the linear relationship in the table?

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  y = 10x + 22

• y = 22x + 10

• y = 22x − 10

• y = 10x − 22

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