document.write( "Question 172522: Hope you can help! I have three questions. 1. Find the slope and the y-intercept of the line. Write fractional answer in the lowest terms. 4y+4x+9=12+4x Slope is__. The y-intercept is (0,_). second question. Find the slope if it exist, of the line containing the pair of points (8,10) and (9,-8) the slope m=__. The third question. Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b (-7,8);2x=7y+5 Simplify answer use integer or fraction for any expression. \n" ); document.write( "
Algebra.Com's Answer #127386 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! 1. Find the slope and the y-intercept of the line. Write fractional answer in the lowest terms. 4y+4x+9=12+4x Slope is__. The y-intercept is (0,_). \n" ); document.write( "4y+4x+9=12+4x \n" ); document.write( "4y = 3 \n" ); document.write( "y = 0x + 3/4 (slope-intercept form) \n" ); document.write( "The slope is zero, it's parallel to the x-axis, and the y-intercept is 3/4 \n" ); document.write( "------------------------------- \n" ); document.write( "second question. Find the slope if it exist, of the line containing the pair of points (8,10) and (9,-8) the slope m=__. \n" ); document.write( "slope m = (diff in y)/diff in x) = (-8-10)/(9-8) \n" ); document.write( "= -18 \n" ); document.write( "-----------\r \n" ); document.write( "\n" ); document.write( "The third question. Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b (-7,8);2x=7y+5 Simplify answer use integer or fraction for any expression. \n" ); document.write( "2x=7y+5 Put into slope-intercept form \n" ); document.write( "7y = 2x-5 \n" ); document.write( "The slope of the line is 2, so any line parallel will have the same slope. \n" ); document.write( "Then, \n" ); document.write( "y-y1 = m*(x-x1) where (x1,y1) is the point (-7,8) \n" ); document.write( "y-8 = 2*(x - (-7)) \n" ); document.write( "y-8 = 2x + 14 \n" ); document.write( "y = 2x + 22\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |