Answer:
3rd option ([tex]y=\frac{3}{4}x+\frac{1}{2}[/tex]
Step-by-step explanation:
Two lines are said to be parallel of they have same slope.
For a line written in the standard form:
[tex]y=mx+q[/tex]
m represents the slope while q is the y-intercept.
The line mentioned in the text of the problem is
[tex]y=\frac{3}{4}x-\frac{1}{2}[/tex]
so it has slope of [tex]m=\frac{3}{4}[/tex]. 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:
[tex]y=\frac{3}{4}x+\frac{1}{2}[/tex]
has the same slope (3/4), therefore it is the correct choice.
