Question

Write the equation of the line that is parallel to the line 7−4x=7y 7 − 4x = 7 y through the point (2,0).

Answer 1

We are given the line 7-4x=7y.

If we write this line in the form y=mx+k, then m is the slope of the line.

7-4x=7y

7y=-4x+7

y=(-4/7)x+1

the slope of the line is -4/7

Any line parallel to this line must also have a slope equal to -4/7.

We want precisely the one passing through (2, 0) and having slope -4/7.

Using the point-slope form of the equation of a line:

(y-0)=-4/7(x-2)

y=(-4/7)x+8/7

Answer: y=(-4/7)x+8/7

another form is   4x+7y-8=0