document.write( "Question 25710: I have to find the solution and graph this I am so confused.
\n" );
document.write( "5x+7y=b \n" );
document.write( "
Algebra.Com's Answer #13821 by josmiceli(19441)![]() ![]() You can put this solution on YOUR website! I think you're confused because you've got a letter where you expected a number to be. \n" ); document.write( "Just get used to it- algebra problems are full of theings like this. \n" ); document.write( "You want to put it in the form y = mx +b. Now this \"b\" has nothing to do with the b in the problem, let's change y = mx + b to y = mx + k. \n" ); document.write( "5x + 7y = b \n" ); document.write( "subtract 5x from both sides \n" ); document.write( "7y = -5x + b \n" ); document.write( "divide both sides by 7 \n" ); document.write( "y = (-5/7)x + (b/7) \n" ); document.write( "now it's in the form y = mx + k. This form helps with graphing, because m is always the slope. \n" ); document.write( "so, (-5/7) is the slope \n" ); document.write( "The thing about negative slopes, the line goes from your upper left down to \n" ); document.write( "your lower right on the graph \n" ); document.write( "just find these two points, and your have the graph \n" ); document.write( "(x, y) = (0, y) this is called the y-intercept \n" ); document.write( "(x, y) = (x, 0) this is called the x-intercept \n" ); document.write( "If you make x = 0 in the equation, you get the first point \n" ); document.write( "It's (0, b/7) \n" ); document.write( "If you make y = 0 in the equation, you get the second point \n" ); document.write( "It's (b/5, 0) \n" ); document.write( "The only solid data you have is slope = -5/7 \n" ); document.write( "The graph is ALL the lines with that slope, depending on what you want to pick for b. For instance, if b = 35, then your intercepts are: \n" ); document.write( "(0, 5) and \n" ); document.write( "(7, 0) \n" ); document.write( "The slope never changes, though \n" ); document.write( "hope this helps \n" ); document.write( " |