Question

help...Choose the equation of the line passing through the point (-4, -2) and parallel to y = 1 fourthx + 2.
The answer choices are
y = 4x -1
y = 4x - 3
y = 1/4x - 3
y = 1/4x - 1

Answer 1

I know it can't be A or B because they do not have the same slope as the original equation and just saying the slope is 1/4

Answer 2

Please help

Answer 3

Good observation... now select equation C or D and plug in the values (-4, -2) and see which one C or D gives you a true equation.. let me know if you get it, this is my first time on this site and I am still trying to figure out how to work the site

Answer 4

okay

Answer 5

how would i plug in the points

Answer 6

help

Answer 7

if they gave you points (x,y) plug in coordinate y for y in the equation and coordinate x for x in the equation

Answer 8

Anything parallel to this line will have a slope of 1/4 (since parallel lines have equal slopes)

So m = 1/4

The given point is (-4,-2). So (x,y) = (-4,-2) which means x = -4 and y =-2

Plug all this into y = mx+b and solve for b

y = mx+b


-2 = (1/4)(-4)+b


-2 = (1/4)(-4)+b


-2 = (1/4)(-4/1)+b


-2 = (1*(-4))/(4*1)+b


-2 = (-4)/(4)+b


-2 = -1+b


-2 + 1 = b


-1 = b


b = -1


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So we know that m = 1/4 and b = -1


That means the final answer is \(\Large y = \frac{1}{4}x - 1\)

Answer 9

omg thanks you get a medal

Answer 10

you're welcome, and thanks