Hello, i was wondering if somebody could tell me what i am doing wrong and which method I should use.
'Find the equation of the line through (-2,1) parallel to y=1/2x-3. Give your answer in the form ax+by=c.
(Method 1) As the equation of the line given has a gradient of 1/2, I know y=1/2x+c. Putting in the x and y coordinates, 1=1/2(-2)+c. Therefore 1=-1+C. This means C is 2. However, I don't know how to put this information into the form ax+by=c, so I am left with y=1/2x+2.
The second method I used was using the equation y-y1=m(x-x1). So y-1=1/2(x+2). 2y-2=x+2 This means 2y-x-4=0, so c=-4. In the right format, the answer would be -x+2y=-4. However, the answer in the textbook is x-2y=-4. Does anybody know where I have went wrong? Any help is much appreciated