Question 637846: Can you help me find the slope,Y intercept,of the line that passes through the points (1,2) (7,7)
Answer by DrBeeee(684)   (Show Source):
You can put this solution on YOUR website! You need the equation of the line that passes through (1,2) and (7,7) in what is called the slope form
(1) y = mx +b, where m is the slope and b is the y-intercept
The slope m is given by the equation
(2) m = (y2-y1)/(x2-x1)
Substituting the coordinates of the two points gives
m = (7-2)/(7-1)
m = 5/6
Then
(3) y = (5/6)x + b
To find b, substitute either of the given points into (3)
Choosing point (1,2), we obtain
2 = (5/6)*1 + b
b = 2 - 5/6
b = (12 - 5)/6
b = 7/6
Are these values correct? Let's check using the point (7,7)
Is (7= (5/6)7+7/6)?
Is (7 = 35/6 + 7/6)?
Is (7 = (35+7)/6)?
Is (7 = 42/6)?
Is (7=7)? Yes
Your answer is: y = (5/6)x + 7/6 where the slope is 5/6 and y-intercept is 7/6
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