Find an equation of the line containing the point (–2, –5) and parallel to the line 4x–5y=13
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OpenStudy (tkhunny):
Have you considered calculating the slope of the given line?
OpenStudy (anonymous):
honestly i really dont even know where to start
OpenStudy (tkhunny):
I do not believe that. Have you heard of the "Slope Intercept Form"?
OpenStudy (anonymous):
no i havent :/
OpenStudy (tkhunny):
How about "Point-Slope" form?
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OpenStudy (anonymous):
yes ive heard of that one
OpenStudy (tkhunny):
Can you write it, here? What does it look like and what does it mean?
OpenStudy (anonymous):
y – y1 = m(x – x1) When i have a point from the graph and plug it into the slope
OpenStudy (anonymous):
am i right?
OpenStudy (tkhunny):
Yes. Very good. Can you put the GIVEN line into this form?
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OpenStudy (anonymous):
ok so is it?:y– –5= 5/4 (x– –2)
OpenStudy (tkhunny):
1) We don't know that the given line passes through (-2,-5). Most likely, it doesn't.
2) We actually don't care, since all we needed was the slope, 4/5 (be more careful).
3) Using the Point-Slope Form, we have...
(y-(-5)) = (4/5)(x-(-2))
or
(y+5) = (4/5)(x+2)