document.write( "Question 214449: 1. find the slope of the line that passes through the points (-2,3) and (5,-8).\r
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document.write( "2. find the equation of the line that passes through the points (3,-2)and(4,-2).\r
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document.write( "3. Find the equation, in standard form, with all interger coefficients, of the line perpendicular to x+ 3y=6 and passing through (-3,5). \n" );
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Algebra.Com's Answer #162001 by natroa08(4)![]() ![]() You can put this solution on YOUR website! 1. when you are given 2 coordinates you can find the slope by using this formula ➔ slope(m) = y2-y1/x2-x1 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " so you get -8-3/5+2 = -11/7 ←thats your slope \n" ); document.write( " \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2. since both the Y's are the same it tells you that it is a horizontal line there is no slope so the equation is y=-2\r \n" ); document.write( "\n" ); document.write( "3. first we put the equation to the y= format. so....x+3y=6 turns into 3y=-x+6 \r \n" ); document.write( "\n" ); document.write( " the next step is to get rid of the 3y (to get rid of the 3y you must divide everything else by 3.) which gives you y= -1/3x+3 \r \n" ); document.write( "\n" ); document.write( "but thats not your answer, they are asking to find a line that's perpendicular to this one. to find the perpendicular line you change the slope to its opposite/reciprocal. which in this case would be 3. now its wants the line to pass through (-3,5) we wil use this to find our b. (point slope formula is y= mx+b). The formula to find b is..... b = y1 - mx1 (y1 and x1 are the coordinates and m is your slope) \n" ); document.write( "(remember the subtraction sign means the opposite of that number) ok so lets solve for b. \n" ); document.write( "b= 5-3(-3) this equals 14. now we have the final answer y=3x+14\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "hope that wasn't too confusing! \n" ); document.write( " |