Question

A line has the equation 3x-4y=1 choose the equation of a line that is parallel to the given line

Answer 1

Explanation:

The equation of the given line is 3x - 4y = 1

A line parallel to the given line will have slope that is the same as this one.

The equation of a straight line is expressed as;

y = mx + c

y and x are the coordinates

m is the slope

c is the y-intercept

Now, we write the given line in the slope - intercept form;

3x - 4y = 1

-4y = -3x + 1

Divide through by -4

`(-4y)/(-4)` =
`(-3x)/(-4)` +
`(1)/(-4)`

y =
`(3)/(4) x` -
`(1)/(4)`

The slope of this line is
`(3)/(4)`

Any line with the slope
`(3)/(4)` will be parallel to the given line.