Big Ideas Math: Modeling Real Life, Grade 8
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Big Ideas Math: Modeling Real Life, Grade 8 View details
4. Comparing Linear and Nonlinear Functions
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Exercise 9 Page 299

Isolate the y-variable.

Linear, see solution.

Practice makes perfect
Without graphing, we want to determine whether the given equation represents a linear or nonlinear function. To do so, we will isolate the y-variable.
2x+3y=7
2x+3y-2x=7-2x
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Solve for y
3y=7-2x
3y/3=7-2x/3
3y/3=7-2x/3
y=7-2x/3
y=7/3-2x/3
y=- 2x/3+7/3
y= - 2/3x+7/3
The equation can be written in slope-intercept form. Therefore, its graph is a straight line. This means that the function is linear.