SOLUTION: Need to solve this by hand. Please help, thanks! How do I find the equation of the line passing through points (1,19) and (-1,-3)

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Question 1021649: Need to solve this by hand. Please help, thanks!
How do I find the equation of the line passing through points (1,19) and (-1,-3)
Found 3 solutions by macston, FrankM, ewatrrr:
Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
.
=(,)=(,)
.
=(,)=(,)
.
Find the slope (m):
.

.
=
.
For the equation, use slope-intercept form (y=mx+b):
.
m=11
.
y=11x+b
.
Use either of the points or to find b:
.
Using , x=1 and y=19:
.
y=11x+b
19=11(1)+b
19=11+b
8=b
.
Using m=11 and b=8:
y=mx+b
y=11x+8
.
ANSWER: The equation is: y=11x+8
.
CHECK: (Using )
.
x=-1 and y=-3
.
y=11x+8
-3=11(-1)+8
-3=-11+8
-3=-3
.

Answer by FrankM(1040)   (Show Source): You can put this solution on YOUR website!
The equation for slope, given 2 points:


(1,19) and (-1,-3)





Now the Point-Slope Equation, when you have a slope and a point.



m=11 (1,19)







Plug in both points and see that they fit the equation.





Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!


Hi  

How do I find the equation of the line passing through points (1,19) and (-1,-3)

Takes two steps:

I. find slope  m =

(1,19) and 

(-1,-3   m = 22/2 = 11

II.  Use y = mx + b and P(1,19)

  y = 11x + b

  19 = (11)(1) + b  Substitute  x and y values from P(1,19)

 19-11 = b

 8 = b

Then

 y = 11x + 8   0r  Standard form:   11x-y = -8



 

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