Slope: (y2-y1)/(x2-x1)
(12-2)/(2-7) = 10/-5 = -2
Y = -2x + b
2 = -2(7) + b, b = 16
Y = -2x + 16
Answer:
x = 9
Step-by-step explanation:
(3x - 21) = (2x - 13) eliminate by subtracting 2x and add 21 on both sides
x = 9
Answer:
(8,-3)
Step-by-step explanation:
<u>Midpoint Formula: </u> 
Plug in your numbers from the coordinates:
(10+6/2, -7+1/2)
(16/2, -6/2)
(8,-3)
Answer:
(x, y) = (0, -14), (2, -8), (3, -5)
Step-by-step explanation:
Put the given values into the equation and solve.
<u>x = 0</u>
y = 3·0 -14 = -14
<u>y = -8</u>
-8 = 3x -14
6 = 3x . . . . . . add 14
2 = x . . . . . . . divide by 3
<u>x = 3</u>
y = 3·3 -14 = -5
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The ordered pairs in your table are ...
(x, y) = (0, -14), (2, -8), (3, -5)
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<em>Comment on the approach</em>
In this problem, you are only asked for one x-value for a given y-value. If there were more, you would solve the equation generically (x = (y+14)/3) and use that to compute the desired values of x.
First you do g(0):
g(0) = 3(0) -5
g(0) = -5
then you do f(-5):
f(-5) = 6(-5)2 +5
