2 Answers

Vladimir Bershov · Answer 1 · 2023-05-17T13:13:14+0000

Answer:

y=[4]x + [12]

Explanation:

Remember that parallel lines have identical slopes; and to make a line which passes through a point we will use point-slope form.

Familiarize yourself with point-slope form:

y-y1=m(x-x1)

If the line is parallel to
y=4x+11 the slope must be 4.

y-y1=4(x-x1)

And we know the point it must pass through is (-2,4), so we can fill those values in too.

y-4=4(x+2)

Now all we have to do is solve for y:

$y-4=4(x+2)\\y-4=4x+8\\y=4x+12$

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