SOLUTION: 1.which is a equation of the line that passes through the points (-6,-15) and (3,-6) A. y=-3x_15 B. y=-6x_15 C.y=x_9 D.y=4x+9

Algebra ->  Coordinate-system -> SOLUTION: 1.which is a equation of the line that passes through the points (-6,-15) and (3,-6) A. y=-3x_15 B. y=-6x_15 C.y=x_9 D.y=4x+9      Log On


   

Question 1152981: 1.which is a equation of the line that passes through the points (-6,-15) and (3,-6)
A. y=-3x_15
B. y=-6x_15
C.y=x_9
D.y=4x+9
Found 4 solutions by Cromlix, josmiceli, MathLover1, MathTherapy:
Answer by Cromlix(4381) About Me  (Show Source):
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Hi,
Using points (-6, -15) and (3, -6)
Slope = y2 - y1/x2 - x1
Slope = -6-(-15)/3-(-6) = 9/9 = 1
Using the formula: y - b = m(x - a)
=> y -(-15) = 1(x -(-6))
=> y + 15 = 1(x + 6)
=> y + 15 = x + 6
=> y = x + 6 - 15
=> y = x - 9 C
Hope this helps :-)

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Use the general point slope formula

+%28+y+%2B+15+%29+%2F+%28+x+%2B+6+%29+=+%28+-6+%2B+15+%29+%2F+%28+3+%2B+6+%29+
+%28+y+%2B+15+%29+%2F+%28+x+%2B+6+%29+=+9+%2F+9+
+%28+y+%2B+15+%29+%2F+%28+x+%2B+6+%29+=+1+
+y+%2B+15+=+x+%2B+6+
+y+=+x+-+9+
The answer is C.
------------------------
check:
does it go through ( -6, -15 ) ?
+y+=+x+-+9+
+-15+=+-6+-+9+
+-15+=+-15+
OK
You can check the other point

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

1.which is a equation of the line that passes through the points
(-6,-15) and (3,-6)
to answer that, first find a slope using given points
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m=%28-6-%28-15%29%29%2F%283-%28-6%29%29
m=%28-6%2B15%29%2F%283%2B6%29
m=9%2F9
m=1
look for this slope in given answer options, and you will see that
answer is:
C.y=x-9

check it on a graph:




Answer by MathTherapy(10549) About Me  (Show Source):
You can put this solution on YOUR website!
1.which is a equation of the line that passes through the points (-6,-15) and (3,-6)
A. y=-3x_15
B. y=-6x_15
C.y=x_9
D.y=4x+9
If you look at all the equations - although I don't know why 3 of them have underscores - you'll notice that they all have DIFFERENT slopes.

Therefore, you just NEED to FIND the SLOPE, based on the GIVEN points. That's all!!!



If you look at all the equations - although I don't know why 3 of them have underscores - you'll notice that ONLY 1 of the four has a slope of 1.

You should be able to figure out which one!!!