Question

Find the equation of the line that passes through (4,4) and is parallel to y = 2 x + 4 . Leave your answer in the form y = m x + c

Answer 1

Answer:

comparing the equation y=2x+4 with y=mx+c

Step-by-step explanation:

So, by comparing m=2

using two point slope form

y-y1=m(x-x1)

y-4=2(x-4)

y-4=2x-8

y=2x-8+4

y=2x-4

THUS, this is the required equation

HOPE it helps you.......

Answer 2

Answer:

Parallel lines have equal slopes.

Equation of a line is given by

(y-y1)/(x-x1) = m

where the line passes through (x1,y1) having slope m.

Here, we have y = 2x+4

comparing it with y = mx+c, it's slope comes out to be 2.

Now, equation of a line parallel to this line will be

$\frac{y - 4}{x - 4} = 2 \\ y - 4 = 2(x - 4) \\ y - 4 = 2x - 8 \\ y = 2x - 4$

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