Question

PLS HELP

Answer 1

Answer:

y = -4x-21

Step-by-step explanation:

Hi there!

We want to write an equation of the line that passes through (-4, -5) and is parallel to y=-4x-1.

Parallel lines have the same slopes. So let's find the slope of y=-4x-1.

The line is written in the form y=mx+b, where m is the slope and b is the y intercept.

As -4 is in the place of where m should be, -4 is the slope of y=-4x-1.

It's also the slope of the line parallel to that line.

Right now, what we know about the line parallel to y=-4x-1 is that the slope of it is 4 and it passes through the point (-4, -5).

We can substitute those values into the formula for point-slope form, which is $y-y_1=m(x-x_1)$, where m is the slope and $(x_1, y_1)$ is a point.

We can label the values of everything to help us avoid confusion.

m=-4

$x_1=-4\\y_1=-5$

Now substitute those values into the formula. Note: the formula contains SUBTRACTION, and we have NEGATIVE numbers. Hence,

$y--5=-4(x--4)$

Now simplify.

$y+5=-4(x+4)$

On the right side, do the distributive property.

y+5=-4x-16

Subtract 5 from both sides.

y=-4x-21

Hope this helps!