SOLUTION: Write equation in slope-intercept form of line satisfying given conditions: parallel to 7x + 4y = 10 and same y-intercept as 7x-4y = 3. my answer: rewrite as y = 1/4(-7x +

Algebra ->  Linear-equations -> SOLUTION: Write equation in slope-intercept form of line satisfying given conditions: parallel to 7x + 4y = 10 and same y-intercept as 7x-4y = 3. my answer: rewrite as y = 1/4(-7x +      Log On


   



Question 324092: Write equation in slope-intercept form of line satisfying given conditions:
parallel to 7x + 4y = 10 and same y-intercept as 7x-4y = 3.

my answer: rewrite as y = 1/4(-7x + 10); slope is -7/4; y-intercept (0,10/4)
Not sure what to do next; I know parallel lines have same slope so do I solve 7x-4y=3 ??? Not sure how to proceed - Thanks very much.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
It has the slope of the first line, which you found, and the y-intercept of the second line.
Find the y-intercept of
7x-4y+=+3
7%280%29-4y=3
y=-3%2F4
(0,-3/4)
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Use the slope intercept form of a line,y=mx%2Bb
y=-%287%2F4%29x%2Bb
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Use the point (0,-3/4) to solve for b.
-3%2F4=-%287%2F4%29%280%29%2Bb
b=-3%2F4
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highlight%28y=-%287%2F4%29x-3%2F4%29
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