SOLUTION: I do not understand why I have developed such a mental block with these type of problems. Can anyone help? Is there an "easy" way to figure them out? Use the given conditions to

Algebra ->  Linear-equations -> SOLUTION: I do not understand why I have developed such a mental block with these type of problems. Can anyone help? Is there an "easy" way to figure them out? Use the given conditions to      Log On


   

Question 29431: I do not understand why I have developed such a mental block with these type of problems. Can anyone help? Is there an "easy" way to figure them out?
Use the given conditions to write an equation for the line in slope-intercept form.
Passing through (2,2) and perpendicular to the line whose equation is
y=1/8x + 3.
Passing through (4,3) and parrallel to the line whose equation is y = -1/6x + 4
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
First, recall that perpendicular lines have slopes that are the negative reciprocal of each other.
Identify the slope of the given line m+=+1%2F8
The negative reciprocal of 1%2F8 = -8
The slope-intercept form of the equation is:y+=+mx%2Bb
You have found m+=+-8, so you can write:
y+=+-8x%2Bb Now, to find b (the y-intercept), you'll substitute the x and y values from the given point (2, 2) and solve for b.
2+=+-8%282%29%2Bb Simplify.
2+=+-16%2Bb Add 16 to both sides.
18+=+b Now you can write the final equation in slope-intercept form.
y+=+-8x+%2B+18