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What is a linear function?
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A linear function is a function that creates a straight line when graphed on a coordinate plane.
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What is the general form of a linear equation?
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The general form is y = mx + b, where m is the slope and b is the y-intercept.
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What does the slope of a line represent?
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The slope represents the steepness of the line and the direction in which it increases or decreases.
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What is the y-intercept of a linear function?
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The y-intercept is the point where the line crosses the y-axis.
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How do you determine the slope from two points on a graph?
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Subtract the y-coordinates and divide by the difference of the x-coordinates: (y2-y1)/(x2-x1).
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What is the slope of a horizontal line?
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The slope of a horizontal line is 0.
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What is the slope of a vertical line?
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The slope of a vertical line is undefined.
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How can you graph a linear function from an equation?
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By identifying the slope and y-intercept, plot the y-intercept on the y-axis, then use the slope to find another point and draw a line through both points.
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What happens to the graph of a line if the slope is positive?
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The line rises from left to right.
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What happens to the graph of a line if the slope is negative?
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The line falls from left to right.
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What point does every line pass through if the equation is y = x?
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The line passes through the origin, point (0,0).
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What does it mean if two lines on a graph are parallel?
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They have the same slope but different y-intercepts.
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What does it mean if two lines on a graph intersect?
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They have different slopes and cross each other at one point.
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How do you find the x-intercept from a linear equation?
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Set y to 0 in the equation and solve for x.
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What is the graph of y = x known as?
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The graph is known as the identity line.
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