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OpenStudy (anonymous):
I got y = 2x + -7 for the slope intercept form, can someone verify this for me?
jimthompson5910 (jim_thompson5910):
y = 2x - 7 is the equation that goes through those two points, nice work
jimthompson5910 (jim_thompson5910):
Check:
y = 2x - 7
-3 = 2(2) - 7 ... plug in x = 2 and y = -3
-3 = 4 - 7
-3 = -3
So (2,-3) is on the line y = 2x - 7
jimthompson5910 (jim_thompson5910):
Check:
y = 2x - 7
5 = 2(6) - 7
5 = 12 - 7
5 = 5
and (6,5) is also on the line y = 2x - 7
jimthompson5910 (jim_thompson5910):
Both points are on the line y = 2x-7, so that fully confirms the answer
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OpenStudy (anonymous):
Can you help me with a few more questions?
OpenStudy (anonymous):
Write the equation of the line given the slope and the y-intercept. Type your answer in the box without skipping any spaces. m = 2, y-intercept (0, -9)
I got y=2x+-9
jimthompson5910 (jim_thompson5910):
which is y = 2x - 9, nice job
OpenStudy (anonymous):
Finish writing the equation of the line y=1/4 x+?____, given the points (-12, 0) and (4, 4)
OpenStudy (anonymous):
I have no idea how to do that :(
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jimthompson5910 (jim_thompson5910):
pick any point you want of the two, which one do you pick?
OpenStudy (anonymous):
-12
jimthompson5910 (jim_thompson5910):
the first one you meant?
jimthompson5910 (jim_thompson5910):
(-12, 0) right?
OpenStudy (anonymous):
Yes
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jimthompson5910 (jim_thompson5910):
ok (-12,0) means x = -12 and y = 0
jimthompson5910 (jim_thompson5910):
y=1/4 x+ b
0 = (1/4)(-12)+ b
0 = (1/4)(-12/1) + b
0 = -12/4 + b
0 = -3 + b
..
...
b = ???
OpenStudy (anonymous):
3?
jimthompson5910 (jim_thompson5910):
good
jimthompson5910 (jim_thompson5910):
y=1/4 x+?____
turns into
y=1/4 x+3
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OpenStudy (anonymous):
My last question...
OpenStudy (anonymous):
If a line has a slope of -2/5 then would a perpendicular line have a slope of 2/5?
jimthompson5910 (jim_thompson5910):
flip the fraction and flip the sign
jimthompson5910 (jim_thompson5910):
-2/5 ---> -5/2 ----> 5/2
jimthompson5910 (jim_thompson5910):
original slope: -2/5
perpendicular slope: 5/2
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