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3 years ago

Find the slope and the y-intercept of the graph of the linear equation. 1. y=3x-7 2. y-1=-2/3x

Mathematics

1 answer:

ELEN [110]3 years ago

5 0

Answer:

1) Slope: 3; y-intercept: -7

2) Slope: 2/3; y-intercept: 1

Step-by-step explanation:

y = mx + b; m is slope and b is y-intercept

1. y = 3x - 7

The equation is already in slope-intercept form, so you can find the slope and intercept.

Slope: 3

y-intercept: -7

2. y - 1 = 2/3x

For this one, you have to convert this into slope-intercept form (solving for y)

y - 1 = 2/3x

Add 1 to both sides

y - 1 + 1 = 2/3x + 1

y = 2/3x + 1

Now that the equation is in slope-intercept form, you can get the slope and y-intercept.

Slope: 2/3

y-intercept: 1

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Answer:

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The population of bacteria grows at a rate expressed by the equation:

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Taking natural logarithms:

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Applying the logarithm properties:

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Solving for t:

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