SOLUTION: Hello! Write an equation of the line containing the given point and parallel to the given line. Express your answer in y = mx+b. (5,9;) 9x+y = 7

Question 375911: Hello!
Write an equation of the line containing the given point and parallel to the given line. Express your answer in y = mx+b.
(5,9;) 9x+y = 7
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

Distribute

Multiply

Add 9 to both sides.

Combine like terms.

So the equation of the line parallel to that goes through the point

is .

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

.

If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim
RELATED QUESTIONS
Write an equation of the line containing the given point and parallel to the line.... (answered by ewatrrr)

Write an equation of the line containing the given point and parallel to the given.... (answered by nyc_function)

Write an equation of the line containing the given point and parallel to the given line.... (answered by checkley77)

write an equation of the line containing the given point and parallel to the given line.... (answered by ewatrrr)

write an equation of the line containing the given point and parallel to the given line. (answered by solver91311)

Please help. Write an equation of the line containing the given point and the parallel to (answered by oberobic)

Write an equation of the line containing the given point and parallel to the given line. (answered by checkley77)

write an equation of the line containing the given point and parallel to the given line... (answered by Alan3354)

write an equation of the line containing the given point and parallel to the given line.... (answered by Fombitz)