Question 115438: write an equation for the line in the indicated form
passing through (3,3) and parallel to the line whose equation is y= - 1/2x+2;
Answer by ganesh(20)   (Show Source):
You can put this solution on YOUR website! A line parallel to y = -(1/2)x + 2 is of the form, y = -(1/2)x + b where b is an arbitrary constant.
Now, the required line passes through (3,3).
so, (3,3)will satify y = -(1/2)x + b.
Substitute (3,3) in y = -(1/2)x + b.
We get, 3 = -(1/2)3 + b.
That is, 3 = -(3/2)+ b
Or, b = 3 + 3/2
Or, b = 9/2
So, the equation of the required line is, y = -(1/2)x + (9/2)
Or, 2y = -x + 9.
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