# Topic 11 - to"picture" the rate of change of a...

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*UNDERSTANDING SLOPE AND Y-INTERCEPT* In this topic, you learned about the slope and y-intercept of a linear function as you explored the connections among the constant rate of change of a linear function, the slope of the line that is the graph of the function, and the slope-intercept form for the equation of a line, y = mx + b. You learned that the value of m describes the rate of change of the linear function, and you saw how changing the value of m changes the graph of the function. If m is positive, the line rises from left to right. If m is negative, the line falls from left to right. ** You also learned that as m becomes larger in absolute value, the line becomes steeper. This fact allows you

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Unformatted text preview: to "picture" the rate of change of a linear function geometrically—you can tell something about the rate of change of the function just by looking at the graph. *** Other geometric connections you explored include the relationships between the slopes of parallel lines and the slopes of perpendicular lines. Parallel lines have the same slant and, therefore, the same slope values. Perpendicular lines intersect to form 90º angles, so their slopes have opposite signs and reciprocal values. As you continue your study of linear functions, you will need to remember the relationship between constant rate of change and slope of a line....
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