Respuesta :

kudzordzifrancis

Answer:

[tex]y=\frac{3}{4}x +\frac{1}{2}[/tex]

Step-by-step explanation:

The given equation is ;

[tex]y=\frac{3}{4}x-\frac{1}{2}[/tex].

If we compare to [tex]y=mx+c[/tex], the slope this line is

[tex]m=\frac{3}{4}[/tex]

The equation that is parallel to this line also has slope, [tex]m=\frac{3}{4}[/tex].

From the give options, the equation is [tex]y=\frac{3}{4}x +\frac{1}{2}[/tex]

zainebamir540

Answer:

Choice C is the correct answer.

Step-by-step 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.

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