document.write( "Question 149828This question is from textbook
\n" ); 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" ); document.write( "
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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
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\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)
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