document.write( "Question 78780: How do I solve f(x)= -3x+4 to find the slope and y intercept ? \n" ); document.write( "
Algebra.Com's Answer #56528 by mathdoc314(58)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "True fact about lines:\r \n" ); document.write( "\n" ); document.write( "If you see f(x) = woodchuck x + giraffe \n" ); document.write( "then can know it is a line, and the slope of the graph of the function f \n" ); document.write( "is woodcheck, and the y-intercept is giraffe\r \n" ); document.write( "\n" ); document.write( "your woodhcuck is -3 and your giraffe is 4\r \n" ); document.write( "\n" ); document.write( "You have f(x) = -3 x + 4 \n" ); document.write( "the slope is -3 \n" ); document.write( "the y-intercept is 4\r \n" ); document.write( "\n" ); document.write( "The y-intercept the point (0, f(0)). \n" ); document.write( "f(0) is -3 * 0 + 4 which is 4 \n" ); document.write( "Your y-intercept is (0,4). This is a point on the y-axis four units above the x-axis.\r \n" ); document.write( "\n" ); document.write( "The slope is the change in y if x changes by 1\r \n" ); document.write( "\n" ); document.write( "The slope of a line is the change in y when x changes by 1\r \n" ); document.write( "\n" ); document.write( "f(0) = woodchuck * 0 + giraffe and your giraffe is 4 \n" ); document.write( "f(1) = woodchuck * 1 + giraffe and your woodchuck + giraffe is -3+4 = 1\r \n" ); document.write( "\n" ); document.write( "You see the change is woodchuck which is -3\r \n" ); document.write( "\n" ); document.write( "This is known as mx+b standard form where the slope is called m instead of woodchuck and the y-intercept is known as b instead of giraffe.\r \n" ); document.write( "\n" ); document.write( "It might help you to know a slope 0 goes horizontally across the page, slope 1 goes diagonally like this / and slope -1 goes diagonally like this \ and also vertical lines do not have a slope. Slope 8 is a steeper slope upwards and to the right, and slope -8 is a steeper slope downwards, and small slopes like +1/4 or -1/4 rise or sink gradually as you move to the right (positive x axis).\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |