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 , where m is the slope and
is a point.
We can label the values of everything to help us avoid confusion.
m=-4
Now substitute those values into the formula. Note: the formula contains SUBTRACTION, and we have NEGATIVE numbers. Hence,
Now simplify.
On the right side, do the distributive property.
y+5=-4x-16
Subtract 5 from both sides.
<u>y=-4x-21</u>
Hope this helps!