document.write( "Question 159100: Determine the value of \"a\" so that the line through (5,8) and (a,6) has a slope of -3/4 \n" ); document.write( "
Algebra.Com's Answer #117227 by Electrified_Levi(103)![]() ![]() ![]() You can put this solution on YOUR website! Hi, Hope I can help, \n" ); document.write( ". \n" ); document.write( "Determine the value of \"a\" so that the line through (5,8) and (a,6) has a slope of \n" ); document.write( ". \n" ); document.write( "First we have to know what the slope is. The slope is how steep the line is. It is the slant of the line \n" ); document.write( ". \n" ); document.write( "These lines have negative slopes \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "As you can see, a slope that is negative means, the line (from left to right) is going down \n" ); document.write( ". \n" ); document.write( "Here are some lines with positive slopes \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "As you can see a slope that is positive, means the line(from left to right) is going up \n" ); document.write( ". \n" ); document.write( "Now that you know a little about slopes lets do the problem \n" ); document.write( ". \n" ); document.write( "Determine the value of \"a\" so that the line through (5,8) and (a,6) has a slope of \n" ); document.write( ". \n" ); document.write( "The slope is negative, so the line is going down(from left to right) \n" ); document.write( ". \n" ); document.write( "Here is one way to solve this kind of problem \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "If the point is (2,4) find a point (6,c) if the slope is \n" ); document.write( ". \n" ); document.write( "The slope is negative, so the line is going down. \n" ); document.write( ". \n" ); document.write( "The slope is \n" ); document.write( ". \n" ); document.write( "Since the slope is negative, \n" ); document.write( ". \n" ); document.write( "A slope of \n" ); document.write( ". \n" ); document.write( "If we do that, we will get our point \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "The point is (6,-3) \n" ); document.write( ". \n" ); document.write( "There is yet another way to solve this kind of problem \n" ); document.write( ". \n" ); document.write( "Determine the value of \"a\" so that the line through (5,8) and (a,6) has a slope of \n" ); document.write( ". \n" ); document.write( "We use the slope equation = \n" ); document.write( ". \n" ); document.write( "(ex. slope of (1,2)(x1,y1) and (2,4)(x2,y2), equation = \n" ); document.write( ". \n" ); document.write( "Replace the variables \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "we can do the same for our problem \n" ); document.write( ". \n" ); document.write( "Determine the value of \"a\" so that the line through (5,8)(x1,y1) and (a,6)(x2,y2) has a slope of \n" ); document.write( ". \n" ); document.write( "Replace the variables in the equation = \n" ); document.write( ". \n" ); document.write( "Our equation = \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "We will use cross multiplication \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Using distribution \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "We will move \"15\" to the left side \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "We will multiply each side by (-1) \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "We can check by replacing \"a\" with \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "a = \n" ); document.write( ". \n" ); document.write( "We found our point, if our point was (a,6), just replace \"a\" with \n" ); document.write( ". \n" ); document.write( "Here are the two points \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Now draw a line through these points, this line has a slope of \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "The line equation = \n" ); document.write( ". \n" ); document.write( "The point you were looking for is ( \n" ); document.write( ". \n" ); document.write( "Your answer is ( \n" ); document.write( ". \n" ); document.write( "Hope I helped, Levi \n" ); document.write( " |