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max2010maxim [7]
2 years ago
8

Write an equation in point-slope form of the line having the given slope that contains the given point. then graph the line

Mathematics
1 answer:
Natali5045456 [20]2 years ago
6 0

Answer:

y=-\frac{5}{3}x-3

Step-by-step explanation:

Equation of straight line in point slope form is given a s

(y-y_1)=m(x=x_1)

Here

m=-\frac{5}{2}  \ and\  (x_1, y_1)=(0, -3)

(y+3)=-\frac{5}{3}(x-0)

y=-\frac{5}{3}x-3

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Answer:

The function has been flipped due to the negative in front.

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The function has been shifted 4.3 units down.

Step-by-step explanation:

When functions are transformed there are a few simple rules:

• Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).

• Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).

• Multiplying the function by a number less than 1 compresses it towards the x-axis.

• Multiplying the function by a number greater than 1 stretches it away from the x-axis.

The graph of (-2^{x+17}) -4.3 compares to 2^x in the following ways:

The function has been flipped due to the negative in front.

The function has been shifted 17 units to the left.

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3 years ago
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