document.write( "Question 163060: WRITE THE EQUATION OF THE LINE IN SLOPE-INTERCEPT FORM.
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document.write( "PASSING THROUGH THE POINTS (-1,5),(-3,-2) \n" );
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Algebra.Com's Answer #120154 by joecbaseball(37)![]() ![]() ![]() You can put this solution on YOUR website! Remember that the slope-intercept form is when the line is represented in the form: \n" ); document.write( "Y = mx + b, where m is the slope and b is the y-intercept. \n" ); document.write( "Now let’s figure what those values are: \n" ); document.write( "First of all, your slope (m) is the ratio of the difference in the y terms divided by the difference in the x terms, or, as some teachers say, “the rise over the run”. \n" ); document.write( "You have your two points, (-1,5), (-3,-2) \n" ); document.write( "The difference in your y terms is (5 – (-2)) = 7 \n" ); document.write( "The difference in your x terms is ((-1) – (-3)) = 2 \n" ); document.write( "So, your slope (m) is 7/2. \n" ); document.write( "Now plug that term into the generic slope-intercept form of the equation: \n" ); document.write( "y = (7/2)x + b. \n" ); document.write( "We now have to solve for b, and we have two different point coordinates to choose from. I’ll use (-1, 5) \n" ); document.write( "Putting (-1) in for x, and 5 in for y, we get: \n" ); document.write( "5 = (7/2)(-1) + b, and solve for b. This gives us that b = 17/2. \n" ); document.write( "So the equation of the line for any point on the line is: \n" ); document.write( "y = (7/2)x + (17/2).\r \n" ); document.write( "\n" ); document.write( "Good luck \n" ); document.write( " \n" ); document.write( " |