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which equation of the line that is parallel to y= 4x - 2 through (0, -3/4) is correct?
a) y= -3/4x+4 B) y= -3x+3/4 C) y= -1/4x -3 or D) y=4x - 3/4
On C the minus sign on 1/4 is by the 1 not in front of the whole 1/4, if that makes a difference

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Option D: [tex]y = 4x-\frac{3}{4}[/tex] is the right answer

Step-by-step explanation:

Given equation is:

[tex]y = 4x-2[/tex]

Let m1 be the slope of given line

m1 = 4

Any line parallel to given line will have same slope

So,

Let m be the slope of line parallel to given line

m = 4

Slope-intercept form of equation is:

[tex]y=mx+b\\[/tex]

Putting the value of slope

[tex]y = 4x+b[/tex]

Putting (0, -3/4) in the equation

[tex]-\frac{3}{4} = 4(0) +b\\b = -\frac{3}{4}[/tex]

Putting the value of b

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

Hence,

Option D: [tex]y = 4x-\frac{3}{4}[/tex] is the right answer

Keywords: Equation of line, slope

Learn more about equation of line at:

  • brainly.com/question/4326955
  • brainly.com/question/4192226

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