document.write( "Question 5679: What is the equation of the line that passes through the points (-2,2) and (0,5)? This is a multiple choice A. y=-3//2x+5 B.y=3/2x+5 C. y=x+5 D.y=x-5 \n" ); document.write( "
Algebra.Com's Answer #2916 by lotanez(23)![]() ![]() ![]() You can put this solution on YOUR website! The point-slope equation y=mx+b (which tells you how much y is changing for every so much that x changes)\r \n" ); document.write( "\n" ); document.write( "m=slople, b=y-intercept (the point on the y-axis where the line toches or intercepts)\r \n" ); document.write( "\n" ); document.write( "first you have to find the slope with the points given:\r \n" ); document.write( "\n" ); document.write( "equation for slope is m = y2 - y1/x2 - x1\r \n" ); document.write( "\n" ); document.write( "for points (-2,2) -2=x1 and 2=y1 \n" ); document.write( "for points (0,5) 0=x2 and 5=y2\r \n" ); document.write( "\n" ); document.write( "m = 5-2/0-(-2) = 3/2 \n" ); document.write( "m = 3/2 \r \n" ); document.write( "\n" ); document.write( "when you have an x value that is zero, the y value is the b in the point-slope equation. \n" ); document.write( "(graph out the points and you'll know what I mean) \n" ); document.write( "therefore the y-intercept = 5 (because of the points given (0,5) so if \n" ); document.write( "y-intercept=b, then b=5. \n" ); document.write( "Now just fill in the equation: \n" ); document.write( "y=mx+b \n" ); document.write( "m=3/2 \n" ); document.write( "b=5\r \n" ); document.write( "\n" ); document.write( "y=3/2x + 5 \n" ); document.write( " \n" ); document.write( " |