Question

determine the slope and y-intercept for the equation 6x+3y=9

Answer 1

First, isolate y.

Answer 2

3y = 9 - 6x

Divide everything by 3

y = 3 - 2x

Replace y with f(x)

f(x) = 3 - 2x

Answer 3

f(x) = -2x + 3

Answer 4

To find the y intercept, let x = 0.

Answer 5

f(0) = -2(0) + 3
f(0) = 3

Remember that y = f(x)

y = 3

Answer 6

So when x is 0, y is 3. therefor, (0,3) is your y intercept.

Answer 7

To calculate the slope, we need another ordered pair.
Let x = 5
f(5) = -2(5) + 3
f(5) = -10 + 3
f(5) = -7
y = -7

x = 5 y = -7
(5,-7)

Answer 8

Next, we need to use the slope formula.

Answer 9

y2 - y1 over x2 - x1

Answer 10

-7 - 3 over 5 - 0
-10 over 5
-2

So your slope is -2, and your y intercept is (0,3).

Answer 11

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Answer 12

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