Understanding Linear Functions

This video tutorial covers linear functions, focusing on their constant slope and various forms: slope-intercept, standard, and point-slope. It explains how to find the slope using graphs and formulas, and provides techniques for graphing linear equations. The video also discusses the characteristics of horizontal and vertical lines, including their slopes.

What is the main characteristic of a linear function?

• It has a variable slope.

• It forms a curved line on a graph.

• It has a constant slope.

• It has no slope.

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How can you find the slope of a line using a graph?

• By drawing a circle around the line.

• By counting the vertical and horizontal changes between two points.

• By using a protractor.

• By measuring the angle of the line.

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In the slope-intercept form, what does the 'b' represent?

• The slope of the line.

• The midpoint of the line.

• The x-intercept of the line.

• The y-intercept of the line.

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What is the advantage of using the slope-intercept form?

• It eliminates the need for a graph.

• It is the only form that can be used for graphing.

• It allows for quick graphing by identifying the slope and y-intercept.

• It makes it easy to find the x-intercept.

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How can you convert a standard form equation to slope-intercept form?

• By multiplying both sides by zero.

• By solving for y to isolate it on one side.

• By solving for x.

• By adding the coefficients of x and y.

What is one method to graph a line from its standard form?

• By drawing a parabola.

• By using a compass.

• By finding the x and y intercepts.

• By calculating the area under the line.

In point-slope form, what information is directly provided?

• The midpoint of the line.

• The slope and a specific point on the line.

• The x-intercept and y-intercept.

• The length of the line.

How can you graph a line using the point-slope form?

• By plotting the given point and using the slope to find another point.

• By using a ruler to draw a straight line.

• By drawing a circle around the point.

• By finding the midpoint of the line.

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What is the slope of a horizontal line?

• Undefined

• Zero

• Positive

• Negative

What type of line is represented by the equation x = a constant?

• A vertical line

• A horizontal line

• A diagonal line

• A curved line