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 the correct answer.

Explanation:

We have given a equation of line.

y = 3/4x-1/2

We have to find the equation of line that is parallel to given equation of line.

y = mx +c is slope-intercept form of equation of line where m is slope and c is y-intercept.

Comparing given equation with slope-intercept form, we have

m = -3/4 and c = -1/2

Parallel lines have equal slopes.

Hence, parallel line have slope equal to 3/4.

Hence, from given choices y = 3/4x+1/2 have slope equal to 3/4.

Hence, choice C is the correct answer.

Answer 2

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

Explanation:

The given equation is ;

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

If we compare to
`y=mx+c`, the slope this line is

`m=(3)/(4)`

The equation that is parallel to this line also has slope,
`m=(3)/(4)`.

From the give options, the equation is
`y=(3)/(4)x +(1)/(2)`