document.write( "Question 447481: Given the points (26, 16) and (40, 26) how would I write an equation that correctly models the two points. I know its a linear equation and if this was on a roof I could tell you that the the pitch of the roof was about a 8/12, but just don't have any idea how to figure out an equation from two points for this college algebra class final project. Also its asking for a y intercept, but since we're dealing with positive numbers would there even be one? All help greatly appreciated. \n" ); document.write( "
Algebra.Com's Answer #308080 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! unless a line is vertical (which this one isn't) it has to cross the y-axis somewhere (y-intercept)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the slope of the line is defined as the \"change in y\", divided by the \"change in x\" \n" ); document.write( "___ as you go from one point to the other, how much do the x and y values change? \n" ); document.write( "___ divide the changes to find the slope\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "use the slope-intercept form of the equation to finish the solution \n" ); document.write( "___ y = mx + b ___ m is the slope and b is the y-intercept \n" ); document.write( "___ plug in your calculated slope value \n" ); document.write( "___ plug in the coordinates of one of the points for the x and y values ___ then solve for the value of b (the y-intercept)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you now have the equation you need (y = mx + b) and the intercept is part of it \n" ); document.write( " |