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Travka [436]
2 years ago
10

Write the equation parallel to y=5x+1 that passes through (-1,-16).

Geography
1 answer:
vodka [1.7K]2 years ago
8 0

Answer:

y  = 5x -11

Explanation:

Given

y = 5x + 1 -- equation

(x,y) = (-1,-16)

Required

Determine the equation parallel to the given equation and passes through the given point

An equation has a general form:

y = mx + b

Where:

m = slope

First, we need the slope of the required equation

Since the required equation is parallel to y = 5x + 1, then they have the same slope

So, the slope m of the required equation is:

m = 5

Next, we determine the equation using:

y - y_1 = m(x - x_1)

Where

m = 5

(x,y) = (-1,-16)

So, we have:

y - (-16) = 5(x - (-1))

y +16 = 5(x +1)

Open bracket:

y +16 = 5x +5

Collect Like Terms

y  = 5x +5 - 16

y  = 5x -11

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