Question

Which is the equation of a line that is parallel to the line represented by y=3/4x-1/2?

Answer 1

Choice C is correct.

Explanation:

We have given a equation:

y=3/4x-1/2.

We have to find the equation parallel to the line y=3/4x-1/2.

We know that the parallel lines have equal slope so, the slope of required line is:

m = 3/4

Choice C is y=3/4x+1/2 where slope is 3/4.

So, choice C is correct.

y=3/4x+1/2 is the line parallel to the given line.

Answer 2

3rd option (
`y=(3)/(4)x+(1)/(2)`

Explanation:

Two lines are said to be parallel of they have same slope.

For a line written in the standard form:

`y=mx+q`

m represents the slope while q is the y-intercept.

The line mentioned in the text of the problem is

`y=(3)/(4)x-(1)/(2)`

so it has slope of
`m=(3)/(4)`. Therefore we have two find the line with the same slope among the options given.

Looking at the options given, we see that the third line:

`y=(3)/(4)x+(1)/(2)`

has the same slope (3/4), therefore it is the correct choice.