SOLUTION: Write an equation in point-slope form of the line containing the point (-4,-5) and parallel to the line 2x+y=-3.

Question 180706: Write an equation in point-slope form of the line containing the point (-4,-5) and parallel to the line 2x+y=-3.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation.

Subtract from both sides.

Rearrange the terms.

We can see that the equation has a slope and a y-intercept .

Since parallel lines have equal slopes, this means that we know that the slope of the unknown parallel line is .
Now let's use the point slope formula to find the equation of the parallel line by plugging in the slope and the coordinates of the given point

.

Start with the point slope formula

Plug in , , and

Rewrite as

Rewrite as

-------------------------------------------------

Answer:

So the equation of the line, in point-slope form, parallel to that goes through the point

is .

In short, the equation that you're looking for is

Here's a graph to visually verify our answer:
Graph of the original equation (red) and the parallel line (green) through the point

.

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