Friday, September 25, 2015

Precalculus, Chapter 1, Review Exercises, Section Review Exercises, Problem 38

Determine the slope and y-intercept of the line 3x+4y=12. Graph the line, labeling any intercepts.

We write the equation 3x+4y=12 in slope intercept form to find the slope. We get


3x+4y=12Given equation4y=3x+12Subtract 3xy=34x+3Divide by 4



The slope is 34. To find the y-intercept, we let x=0 and solve for y. So we have


y=34(0)+3x=0y=3


The y-intercept is 3.

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