Answer:
y = -1/5x - 31/5
Step-by-step explanation:
If two lines are parallel to each other, they have the same slope.
The first line is x + 5y = 25.
First, let's put this in standard form of y = mx + b.
x + 5y = 25
Subtract x from both sides.
5y = -x + 25
Divide each term by 5.
y = -1/5x + 5
This line's slope is -1/5. A line parallel to this one will also have a slope of -1/5.
Plug this value (-1/5) into your standard point-slope equation of y = mx + b.
y = -1/5x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (-6, -5). Plug in the x and y values into the x and y of the standard equation.
-5 = -1/5(-6) + b
To find b, multiply the slope and the input of x (-6)
-5 = 6/5 + b
Now, subtract 6/5 from both sides to isolate b.
-5 - 6/5 = b
-25/5 - 6/5 = b
-31/5 = b
Plug this into your standard equation.
y = -1/5x - 31/5
This equation is parallel to your given equation (y = -1/5x + 5) and contains point (-6, -5)
Hope this helps!
