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3 years ago

Write the equation of the line that passes through the point (-2, 7) and is PARALLEL to the line y = -4x + 1.

Mathematics

1 answer:

qwelly [4]3 years ago

3 0

Answer:

The equation is $y=x-9$

Step-by-step explanation:

If we want a line parallel to the line in the problem it will have the same slope. The equation given in the problem is already in slope intercept form so we can take the slope for the new equation directly from this equation.

The slope-intercept form of a linear equation is: $y=mx+b$

Where m is the slope and b is the y-intercept value.

$y=1x-2$

Therefore the slope is

$m=1$

We can now use the point-slope formula to write the equation of the parallel line:

The point-slope formula states:

$(y-y1)=m(x-x1)$

Where m is the slope and $(x1,y1)$ is a point the line passes through.

Substituting the information from the problem gives:

$(y- (-7)=1(x-2)$

$(y+7)=1(x-2)$

Or, we can solve for y to put the equation in slope-intercept form:

$y+7=x-2$

$y+7-7=x-2-7$

$y+0=x-9$

$y=x-9$

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$\bf \textit{Double Angle Identities}
\\ \quad \\
sin(2\theta)=2sin(\theta)cos(\theta)
\\ \quad \\
cos(2\theta)=
\begin{cases}
cos^2(\theta)-sin^2(\theta)\\
1-2sin^2(\theta)\\
\boxed{2cos^2(\theta)-1}
\end{cases}
\\ \quad \\
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-------------------------------\\\\
$

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\\\\\\
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4 years ago

Given that r||s and q is a transversal, we know that by the [________]. corresponding angles theorem alternate interior angles t

neonofarm [45]

Answer:

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Step-by-step explanation:

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3 years ago

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Amanda [17]

Answer:

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A store paid $12 for a sweatshirt and sold the sweatshirt of $19.20. What was the percent markup (increase) of the sweatshirt? *

Nookie1986 [14]

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1 year ago

Write the equation of the line that passes through the point (-2, 7) and is PARALLEL to the line y = -4x + 1.​

Write the equation of the line that passes through the point (-2, 7) and is PARALLEL to the line y = -4x + 1.