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3 years ago

Write an equation in slope-intercept form for the line parallel to y = 5x - 2 that passes through the point (8, -2).

Mathematics

1 answer:

steposvetlana [31]3 years ago

6 0

Answer:

$y = 5x - 42$

Step-by-step explanation:

The equation of parallel line differ only by their constant.

Hence, the equation of the line parallel to $y = 5x - 2$ is nothing but $y = 5x + c$

When a point passing through this line is given we can substitute the point in this line and get the value for $c$ .

The line passes through $(8 , -2)$ .

Therefore, we have: $-2 = 5(8) + c$

$\implies c = -42$ .

Substituting this we get the equation of the parallel line as $y = 5x - 42$ .

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2 years ago

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We have to choose the equation which will satisfy the given discriminant.

We will consider all the given equation one by one

First we will take option a which is $-x^2+8x+2=0$

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Therefore, option b is the required answer.

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