SOLUTION: Write the slope-intercept form of the equation of the line that passes through the points (4, -3) and (1, -4).

Algebra ->  Linear-equations -> SOLUTION: Write the slope-intercept form of the equation of the line that passes through the points (4, -3) and (1, -4).       Log On


   

Question 1160148: Write the slope-intercept form of the equation of the line that passes through the points (4, -3) and (1, -4).
Found 2 solutions by Boreal, Alan3354:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
slope is change in y (-1)./change in x(-3) or 1/3
point-slope formula y-y1=m(x-x1)
y+4=(1/3)(x-1)
y=(1/3)x-13/3
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C%281%2F3%29x-13%2F3%29
alternative way
y=mx+b
use (4, -3)
-3=(1/3)(4)+b
-3=(4/3)+b
b=-3-4/3=(-9/3)-(4/3)=-13/3

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Write the slope-intercept form of the equation of the line that passes through the points (4,-3) and (1,-4).
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Don't put a space after the commas.
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Another method:
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|x   y   1|
|4  -3   1| = 0
|1  -4   1|

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x*(-3*1 - -4*1) - y*(4*1 - 1*1) + 1*(4*-4 - 1*-3) = 0
1x - 3y - 13 = 0
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Solve for y
y = (1/3)x - 13/3