Question

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

Answer 1

Answer:

3rd option ($y=\frac{3}{4}x+\frac{1}{2}$

Step-by-step 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

$y=\frac{3}{4}x-\frac{1}{2}$

so it has slope of $m=\frac{3}{4}$. 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:

$y=\frac{3}{4}x+\frac{1}{2}$

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

Answer 2

Answer:

Choice C is correct.

Step-by-step 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.