Algebra/Algebra

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Question
Find the equation of a line passing through the point:

(4,7) and (5,12)
(4,7) and (15,12)
(-9,2) and 0,0)
(3,1) and with a slope of 9
(-1,-6) and with a slope of -7
(10,-12)and with a slope of 4/5


Answer
You can do these.  The standard equation for a line is
y = mx+b where m is the slope and b is the y-intercept.  
So when you have two points, such as (4,7) and (5,12) you just put in those values to get
7 = 4m +b and 12 = 5m +b and solve for m and b.  
in this case, m = 5 and b = -13 and the equation is
y = 5x -13
you can try the next two.
If you have one point and the slope, it's even easier.
for (3,1) and m = 9, you have 1 = 3(9) +b so b = -26
and your equation is y = 9x-26
Try the last two.

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