SOLUTION: what is the equation for the coordinates (1,2) and (2,4)

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Question 68682: what is the equation for the coordinates (1,2) and (2,4)
Answer by rmromero(383) About Me  (Show Source):
You can put this solution on YOUR website!
what is the equation for the coordinates (1,2) and (2,4)
Two points determine a line. Given you point you can also find the equation of the line.


1. Find the slope of the line through two points (1,2) and (2,4).
m+=+%28y%5B2%5D-y%5B1%5D%2Fx%5B2%5D-x%5B1%5D%29,
Let (x1,y1) = (1,2)

(x2,y2) = (2,4)

m+=+%284-2%29%2F%282-1%29
m+=+2%2F1 or 2

2.Using slope - intercept form, find y - intercept
highlight+%28y+=+mx+%2B+b%29, Choose one point of the line (1,2) and substitute it to the equation including the slope to find the b or y-intercept.
m = 2, x = 1 and y = 2
2 = 2(1) + b
2 - 2 = b
0 = b

so the slope-intercept form of the equation is y = 2x + 0
or y = 2x