Find the equation of the line passing through $(3,-1)$ that is parallel to the line $2x - 7y = 11$. Express the answer in standard form.
1) Find the slope of the given line ... 2x - 7y = 11 ---> -7y = -2x + 11
---> y = (2/7)x - 11/7
The slope of this line is 2/7.
2) The slope of all lines parallel to this line will also be 2/7.
3) Use the point-slope form to find the equation of the wanted line:
y - y1 = m(x - x1) ---> y - -1 = (2/7)(x - 3)
4) Simplify the answer to step 3 and place it into the form Ax + By = C