SOLUTION: The line through (-2,-1) that is parallel to the line 5x + 3y =9. I am having a horrible time trying to write solve this and then write it into standard form containing only integ

Question 181882: The line through (-2,-1) that is parallel to the line 5x + 3y =9. I am having a horrible time trying to write solve this and then write it into standard form containing only integer coefficients.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation.

Rearrange the terms.

Divide both sides by to isolate y.

Break up the fraction.

Reduce.

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

Multiply both sides by 3.

Distribute

Add 5x to both sides.

Subtract 3 from both sides.

Combine and rearrange the terms.

=======================================

Answer:

So the equation of the line that is parallel to and that goes through (-2,-1) is:

Also, the equation is in standard form where , , and
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