SOLUTION: I am lost!!! Can you explain step by step how to solve this problem? Write an equation of the line containing the given point and parellal to the given line. (-2,6); 9x = 8y + 5

Question 545257: I am lost!!! Can you explain step by step how to solve this problem? Write an equation of the line containing the given point and parellal to the given line.
(-2,6); 9x = 8y + 5
I am totally confused, and even viewing examples, I just cannot understand how the final answer is arrived at.
Thank you so much in advance.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Write the equation of the line containing the point (-2,6) and parallel(sp) to the line: 9x = 8y+5
First, find the slope of the given line by putting in the "slope-intercept" form y = mx+b:
9x = 8y+5 Subtract 5 from both sides.
9x-5 = 8y Now divide both sides by 8.
(9/8)x-5/8 = y which you should write as:
y = (9/8)x-5/8 Now compare this with the "slope-intercept" form.
y = mx+b and you can see that the line represented by the given equation has a slope
Now, as you recall from your class, parallel lines have the same slope. This means that the new line whose equation you are going to write must have a slope of
So you can start the new equation, in "slope-intercept" form:
Now to find b, the y-intercept, you will use the coordinates of the given point (-2,6) and substitute the x- and y-coordinates into your starting equation above:
Substitute x = -2 and y = 6
Solve for b.
Add to both sides.

Now you can complete your equation:

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