MATHEMATICS COLLEGE

PLEASE I Can’t figure this out. Write the slope-intercept form of the line that travels through (4,-1) and is parallel to y = 1/4x

Answers

Answer 1

Answer:

Answer:

y = 1/4x - 2

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope.

The first line is y = 1/4x. Its slope is 1/4. A line parallel to this one will also have a slope of 1/4.

Plug this value (1/4) into your standard point-slope equation of y = mx + b.

y = 1/4x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (4, -1). Plug in the x and y values into the x and y of the standard equation.

-1 = 1/4(4) + b

To find b, multiply the slope and the input of x (4)

-1 = 1 + b

Now, subtract 1 from both sides to isolate b.

-2 = b

Plug this into your standard equation.

y = 1/4x - 2

This equation is parallel to your given equation (y = 1/4x) and contains point (4, -1)

Hope this helps!

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Answer:

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Step-by-step explanation:

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Find two unit vectors orthogonal to both given vectors. i j k, 4i k

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$\mathbf v=(\vec i+\vec j+\vec k)*(4\,\vec i+\vec k)=\begin{vmatrix}\vec i&\vec j&\vec k\n1&1&1\n4&0&1\end{vmatrix}=\vec i+3\,\vec j-4\,\vec k$

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