document.write( "Question 1204229: If a line has an x-intercept at x=4 and a y-intercept at y=-2 find its equation in the form y=mx+b. \n" ); document.write( "
Algebra.Com's Answer #840361 by greenestamps(13196)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "In the equation y=mx+b, b is the y-intercept, which we are given to be -2. So to find the equation in y=mx+b form, we only need to find the slope m. \n" ); document.write( "I firmly believe students will enjoy math more if they understand what they are doing instead of plugging numbers into formulas. I have seen hundreds of cases where students got the wrong value for the slope because they plugged the wrong numbers in the wrong places in the slope formula. \n" ); document.write( "To find the slope of the line from the given information, we need to determine the slope of the line through the two given points (0,-2) and (4,0). Instead of plugging numbers into the formula or slope, use the basic concept of slope = rise over run. \n" ); document.write( "From (0,-2) to (4,0), the run is 4 and the rise is 2, so the slope is 2/4 = 1/2. \n" ); document.write( "And so the equation of the line in y=mx+b form is \n" ); document.write( "y = (1/2)x-2 \n" ); document.write( " \n" ); document.write( " |