Answer:
y = -2x - 5
Step-by-step 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:
[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
In this case you can choose any 2 set of points on the table.
[tex]m = \frac{4 - 2}{-3 - (-2)}[/tex] = [tex]\frac{4 - 2}{-3 + 2}[/tex] = [tex]\frac{2}{-1}[/tex] = -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:
[tex]y - y_{1} = m(x - x_{1})[/tex]
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!
