Answer:
y = -1/4x
Step-by-step explanation:
If two lines are parallel to each other, they have the same slope.
The first line is y = -1/4x - 2. Its slope is -1/4. A line parallel to this one will also have a slope of -1/4.
Plug this value (-1/4) into your standard point-slope equation of y = mx + b.
y = -1/4x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (8, -2). Plug in the x and y values into the x and y of the standard equation.
-2 = -1/4(8) + b
To find b, multiply the slope and the input of x (8)
-2 = -2 + b
Now, add 2 to both sides to isolate b.
0 = b
Plug this into your standard equation.
y = -1/4x
This equation is parallel to your given equation (y = -1/4x - 2) and contains point (8, -2)
Hope this helps!
