Answer:
y = -2x - 5
Explanation:
1) Find the slope of the line.
The slope of the original line is the same as the slope of the parallel line.
Slope formula:
In this case you can choose any 2 set of points on the table.
=
=
= -2
So the slope of the line is -2
2) Use the point-slope formula to find the equation of the line.
Point-slope formula:
Now plug in the point (0, -5) and the slope -2 into the equation.
y - (-5) = -2(x - 0)
y + 5 = -2(x - 0)
To solve the equation first apply the distributive property.
y + 5 = -2x + 0
y + 5 = -2x
Next, subtract 5 from sides.
y = -2x - 5
You know have your equation in point-slope form!