Writing Equations In Slope Intercept Form Worksheet With Answers Page 35
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504-2 Writing Equations in Slope-Intercept Form
Consider the standard form of a linear equation, Ax + By = C.
Rewrite equation in slope-intercept form.
What is the slope?
What is the y-intercept?
Is this true for all real values of A, B, and C?
a.
b. The slope is
.
c. The y-intercept is
.
d. No, B cannot equal zero.
Create a real-world situation that fits the graph shown. Define the two quantities and describe the
functional relationship between them. Write an equation to represent this relationship and describe what the slope
and y-intercept mean.
Sample answer: Let y represent the number of quarts of water in a pitcher, and let x represent the time in seconds
that water is pouring from the pitcher. As time increases by 1 second, the amount of water in the pitcher decreases
by
y =
x + 4. The slope is the rate at which the water is leaving the pitcher,
second. The y-intercept represents the amount of water in the pitcher when it is full, 4 qt.
Linear equations are useful in predicting future events. Describe some factors in real-world
situations that might affect the reliability of the graph in making any predictions.
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Linear equations can be use to predict something that has a constant of rate of change. If the problem is about
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