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

Accepted Solution

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.