document.write( "Question 149828This question is from textbook
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document.write( ": Can you please help with this 3 part problem. The first part is to solve 3x+4y=8 for y The second part is when graphed this equation would be a line. By examining your answer to part a, what is the slope and y-intercept of this line? The third part is using your answer from part a, find the corresponding value of y when x =8 \n" );
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Algebra.Com's Answer #109954 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! Can you please help with this 3 part problem. The first part is to solve 3x+4y=8 for y The second part is when graphed this equation would be a line. By examining your answer to part a, what is the slope and y-intercept of this line? The third part is using your answer from part a, find the corresponding value of y when x =8 \n" ); document.write( "------------- \n" ); document.write( "1. Solving for y means getting the eqn into the form: y = \n" ); document.write( "3x+4y = 8 \n" ); document.write( "Subtract 3x from both sides \n" ); document.write( "4y = -3x + 8 \n" ); document.write( "Divide by 4 \n" ); document.write( "y = (-3/4)x + 2 \n" ); document.write( "That's all. \n" ); document.write( "2. This is the classic slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept (where the line crosses the y-axis, which is also the value at x = 0) \n" ); document.write( "So the slope is -3/4, and the y-intercept is 2, or the point (0,2). \n" ); document.write( "3. Just evaluate y = (-3/4)x + 2 for x = 8 \n" ); document.write( "y = (-3/4)*8 + 2 \n" ); document.write( "y = -6 + 2 \n" ); document.write( "y = -4 at x = 8, the point (8,-4) \n" ); document.write( " \n" ); document.write( " |