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2 years ago

Write an equation for the line that is parallel to the given line that passes through the given point.

Mathematics

1 answer:

Nikolay [14]2 years ago

8 0

Answer:

The correct answer is y = -6x - 4

Step-by-step explanation:

The given equation of the line : y = -6x + 2

Now, the general equation of the line in the slope-intercept form is given by : y = mx + c

Now, comparing the given equation with the general form, We get slope, m = -6

We need to find the equation of the line which is parallel to the given line and since the slope of two parallel lines are equal so the slope of the required line will also be -6

And it passes through the point (-1, 2)

The required equation will be :

⇒ y - 2 = -6 × (x + 1)

⇒ y - 2 = -6x - 6

⇒ y = -6x - 4

Therefore, The required equation is y = -6x -4

Hence, The correct answer is. y = -6x - 4

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ICE Princess25 [194]

Answer & Step-by-step explanation:

In order to find the y-intercept of this equation, we must turn this equation into a slope-intercept equation. The equation for slope-intercept form is <em>y=mx+b. </em>We can do this by using these steps. Our goal is to get y by itself on one side.

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Step 2: Subtract 6x on both sides of the equation. Once you subtract, make sure you put the -6x in front of 9 so we are following the rules of variables and exponents.

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