document.write( "Question 95215: I need to find the slope of a line parallel to y=2x-5 \n" ); document.write( "
Algebra.Com's Answer #69298 by bucky(2189)![]() ![]() ![]() You can put this solution on YOUR website! The slope-intercept form of an equation is: \n" ); document.write( ". \n" ); document.write( "y = mx + b \n" ); document.write( ". \n" ); document.write( "in which m (the multiplier of x) is the slope of the graph and b is the value on the y-axis \n" ); document.write( "where the graph crosses the y-axis. \n" ); document.write( ". \n" ); document.write( "You are given the equation: \n" ); document.write( ". \n" ); document.write( "y = 2x - 5 \n" ); document.write( ". \n" ); document.write( "Notice that this is in the form of the slope-intercept arrangement. By comparing the given \n" ); document.write( "equation with the slope-intercept form, you can see that the slope (m ... the multiplier \n" ); document.write( "of x) is 2 and the point b where the graph crosses the y-axis is -5. \n" ); document.write( ". \n" ); document.write( "Now all you need to know is that a line that is parallel to this graph will have the same \n" ); document.write( "slope, but it will have a different value for b. \n" ); document.write( ". \n" ); document.write( "For example: \n" ); document.write( ". \n" ); document.write( "y = 2x + 6 \n" ); document.write( ". \n" ); document.write( "also has a slope (the multiplier of the x) of 2 but it has +6 on the y-axis as the point \n" ); document.write( "where it crosses the y-axis. \n" ); document.write( ". \n" ); document.write( "Let's look at the graphs of these two equations: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "The \"brownish\" line is the graph of the equation given in the problem, and the green line \n" ); document.write( "is the graph of the equation we wrote as an example ... it has the same slope but crosses \n" ); document.write( "the y-axis at +6. Notice how the two lines look to be parallel because they have the same \n" ); document.write( "slope or slant. \n" ); document.write( ". \n" ); document.write( "Hope this helps you to understand the problem and clarifies how parallel lines have the \n" ); document.write( "same slope. \n" ); document.write( " \n" ); document.write( " |