document.write( "Question 1151551: Graph the line with y-intercept 4 and slope -3/5. \n" ); document.write( "
Algebra.Com's Answer #773337 by jim_thompson5910(35256) ![]() You can put this solution on YOUR website! \n" ); document.write( "The y intercept is 4, which means the point (0,4) is on the graph. I'll label this as point A. \n" ); document.write( "A = (0,4) \n" ); document.write( "This is where the graph crosses the y axis.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "From point A, move down 3 units and to the right 5 units to arrive at point B = (5,1) \n" ); document.write( "The movement \"down 3, to the right 5\" comes directly from the slope of -3/5 \n" ); document.write( "slope = rise/run \n" ); document.write( "slope = -3/5 \n" ); document.write( "rise = -3 means we drop 3 vertical units (y axis) \n" ); document.write( "run = 5 means we move to the right 5 units (x axis) \n" ); document.write( "As the diagram below indicates, the red line goes downhill as you read from left to right. This downhill direction is because of the negative slope.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "After we have two points, we can draw a straight line through them \n" ); document.write( " ![]() \n" ); document.write( "I used GeoGebra to create the graph.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The equation of the red line in slope intercept form (y = mx+b) is \n" ); document.write( "m = -3/5 is the slope \n" ); document.write( "b = 4 is the y intercept \n" ); document.write( " \n" ); document.write( " |