document.write( "Question 172523: 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 #127385 by Mathtut(3670)![]() ![]() ![]() You can put this solution on YOUR website! 1)4y+4x+9=12+4x---> combine like terms \n" ); document.write( ": \n" ); document.write( "4y=3 \n" ); document.write( ": \n" ); document.write( "y=3/4.......so line is horizontal....meaning slope is \n" ); document.write( "y intercept is \n" ); document.write( ": \n" ); document.write( "2)slope is change in y over change in x points (8,10) and (9,-8) \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "3)any parallel lines have equal slopes.....so first we need to write our equation in y=mx+b format to find the slope. 2x=7y+5--->7y=2x-5-->y=(2/7)x-5/7 \n" ); document.write( ": \n" ); document.write( "so m=2/7....so again a line parallel will have this same slope \n" ); document.write( ": \n" ); document.write( "(-7,8) is our point......using the point slope formula we get \n" ); document.write( ": \n" ); document.write( "y-8=(2/7)(x-(-7)) \n" ); document.write( ": \n" ); document.write( "y-8=(2/7)x+2 \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |