SOLUTION: Can you help me with these? Find the slope-intercept form of the line satisfying the given conditions. slope 4/7, y intercept 3 and parallel to 2x+4=5, passing through (1,2)

Algebra ->  Points-lines-and-rays -> SOLUTION: Can you help me with these? Find the slope-intercept form of the line satisfying the given conditions. slope 4/7, y intercept 3 and parallel to 2x+4=5, passing through (1,2)       Log On


   

Question 710699: Can you help me with these?
Find the slope-intercept form of the line satisfying the given conditions.
slope 4/7, y intercept 3
and
parallel to 2x+4=5, passing through (1,2)
Thank you
Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
Find the slope-intercept form of the line satisfying the given conditions.
slope 4/7, y intercept 3:
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Slope-Intercept form of a line is represented by:
y=mx%2Bb
Where m is the slope, and b is the Y-intercept.
So for this problem, the answer is pretty simple:
highlight%28y=4x%2F7%2B3%29
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parallel to 2x+4=5, passing through (1,2)
Did you write this correctly? I'll assume you did...
First, simplify the equation:
2x%2B4=5
2x=1
x=1%2F2
This means that you have a line parallel to the Y axis that crosses the X axis
at the point 1/2. Note, this line has infinite slope (goes straight up).
Lines that are parallel have equal slope. So the line they are looking for also has infinite slope, and crosses the X axis at the point 1. So it's equation is:
highlight%28x=1%29
You can graph this out to check that it's right.
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Good Luck,
tutor_paul@yahoo.com