document.write( "Question 55458: Find the equation of the line that is parallel to 2x-y=4 and contains the point (2,-3).\r
\n" ); document.write( "\n" ); document.write( "-y = -2x + 4
\n" ); document.write( "-y = 1/2(x + 4)\r
\n" ); document.write( "\n" ); document.write( "-y = 1 + 2 \n" ); document.write( "
Algebra.Com's Answer #37629 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Since you don't specify in which form you want your equation, let's use the slope-intercept form. y = mx+b\r
\n" ); document.write( "\n" ); document.write( "First, remember that parallel lines have the same slope, so let's find the slope, m, of the given line by putting it into the slope-intercept form:\r
\n" ); document.write( "\n" ); document.write( "2x-y = 4 Add y to both sides of the equation.
\n" ); document.write( "2x = y+4 Now subtrct 4 from both sides.
\n" ); document.write( "2x-4 = y or y = 2x-4 Comparing this with the general form of the slope-intercept equation: y = mx+b, you can see that the slope, m, = 2. So now for your new equation, you can write:
\n" ); document.write( "y = 2x+b But you still need to find the value of b, the y-intercept of the new equation. You can use the coordinates of the given point (2, -3) to do this. Substitute the x- and y-coordinates of the given point into the equation: y = 2x+b, then solve for b.
\n" ); document.write( "-3 = 2(2)+b
\n" ); document.write( "-3 = 4+b Subtract 4 from both sides.
\n" ); document.write( "-7 = b or b = -7 So now you can write the equation of the new line.\r
\n" ); document.write( "\n" ); document.write( "y = 2x-7 This is the equation of a line that is parallel to the line 2x-y = 4 and which passes through the point (2, -3).\r
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