SOLUTION: Find the equation of the line passing through the points left parenthesis 2 comma 6 right parenthesis and left parenthesis negative 1 comma 9 right parenthesis . Write the

Algebra ->  Linear-equations -> SOLUTION: Find the equation of the line passing through the points left parenthesis 2 comma 6 right parenthesis and left parenthesis negative 1 comma 9 right parenthesis . Write the       Log On


   

Question 1047687: Find the equation of the line passing through the points left parenthesis 2 comma 6 right parenthesis

and left parenthesis negative 1 comma 9 right parenthesis
.
Write the equation in​ point-slope form.
Found 3 solutions by ewatrrr, MathLover1, stanbon:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
(2,6)
(-1,9) m = -3/3 = -1
y - 6 = -1(x-2)
y = -x +8

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

given points:
(2,6+)
and
(1,9+)

Solved by pluggable solver: Find the equation of line going through points
hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (2, 6) and (x2, y2) = (1, 9).
Slope a is a+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+=+%289-6%29%2F%281-2%29+=+-3.
Intercept is found from equation a%2Ax%5B1%5D%2Bb+=+y%5B1%5D, or -3%2A2+%2Bb+=+12. From that,
intercept b is b=y%5B1%5D-a%2Ax%5B1%5D, or b=6--3%2A2+=+12.

y=(-3)x + (12)

Your graph:

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the equation of the line passing through the points left parenthesis 2 comma 6 right parenthesis and left parenthesis negative 1 comma 9 right parenthesis
------------------
(2,6) and (1,9)
------
Write the equation in​ point-slope form.
m = (9-6)/(1-2) = -3
----
Form:: y = mx + b
Solve for "b"::
9 = -3*1 + b
b = 12
-----
Equation:
y = -3x + 12
----------------
Cheers,
Stan H.
-------------