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

Algebra ->  Linear-equations -> 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       Log On


   

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) About Me  (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 m+=+9%2F8
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 m+=+9%2F8
So you can start the new equation, in "slope-intercept" form:
y+=+%289%2F8%29x%2Bb 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:
y+=+%289%2F8%29x%2Bb Substitute x = -2 and y = 6
6+=+%289%2F8%29%28-2%29%2Bb Solve for b.
6+=+-9%2F4%2Bb Add 9%2F4 to both sides.
81%2F4+=+b Now you can complete your equation:
y+=+%289%2F8%29x%2B1%2F4