<p>This is probably a really simple problem, but I can’t seem to get the right answer. When given (2.3, -8.5), m= -5/2…what is the general form of the equation? The book says 10x+4y+11=0 but I don’t know how to go from getting y= -2.75-5/2x to that.
Or another example would be like going from y= 3/2x-1/2 to 3x-2y-1=0.
Any help is appreciated!</p>
<p>multiply both sides by 4?</p>
<p>I know that for the second one, you would subtract the y and then multiply everything to get rid of the fractions.</p>
<p>Well, general standard form is usually Ax + By + C = 0 with the coefficients being whole numbers and the A being non-negative.</p>
<p>To get rid of fractions, multiply by the LCM of all the denominators and then bring everything to one side.</p>
<p>So for the first one:</p>
<p>y = -5/2x - 2.75 (Multiply by 4 since LCM is 4)
4y = -10x - 11 (Bring all to one side)
10x + 4y + 11 = 0</p>
<p>Second one:</p>
<p>y = 3/2x - 1/2 (Multiply by 2 since LCM is 2)
2y = 3x - 1 (Bring all to one side)
-3x + 2y + 1 = 0 (Divide both sides by -1 to make X positive)
3x - 2y - 1 = 0</p>