Question 180522: Hello.
Can I have help in finding the equation of the line passing through (1,1) and (4,6) and putting answer in slope-intercept form.
thanks
Haley
Found 3 solutions by Alan3354, stanbon, mgmoeab:
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! Can I have help in finding the equation of the line passing through (1,1) and (4,6) and putting answer in slope-intercept form.
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I'll do it 2 different ways, you can pick the one you like.
1st method:
Find the slope, m
m = (diff in y)/(diff in x)
m = (6-1)/(4-1)
m = 5/3
Then use either point:
y-y1 = m*(x-x1) where (x1,y1) is the point
y-1 = (5/3)*(x-1)
y-1 = (5/3)x - 5/3
y = (5/3)x - 2/3
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2nd method:
|x y 1|
|1 1 1| = 0
|4 6 1|
x*(1-6) - y*(1-4) + 6-4 = 0
-5x + 3y + 2 = 0
3y = 5x - 2
y = (5/3)x - 2/3
Answer by stanbon(75887)  (Show Source):
You can put this solution on YOUR website! finding the equation of the line passing through (1,1) and (4,6) and putting answer in slope-intercept
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slope = (6-1)/(4-1) = 5/3
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intercept:
1 = (5/3)*1 = b
b = -2/3
==============
Equation:
y = (5/3)x - (2/3)
======================
Cheers,
Stan H.
Answer by mgmoeab(37)  (Show Source):
You can put this solution on YOUR website! The Slope Intercept Form:
y = mx + b
They give you two points for which the line passes through, you can use these two points to find the slope using the formula:
To find that the slope of the line is m = 5/3
Now you use the point-slope form;
Y-Y1 = m(X-X1)
You choose one of the points given (it doesnt matter which one) and plug it in the formula along with the slope found.
Y-1 = 5/3(X - 1)
If you solve for Y, then you will have your answer in slope- intercept form.
Y= 5/3x - 2/3
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