Question

Write the equation of the line parallel to 2x - 4y = 15 through the point (7, 5). Write your equation in standard form.

Answer 1

The parallel line to 2x - 4y = 15 has the equation 2x - 4y = C.

Substitute the coordinates of the point (7, 5) to the equation of a line:

`2(7)-4(5)=C\\\\C=14-20\\\\C=-6`

Answer: 2x - 4y = -6 → x - 2y = -3