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DaniilM [7]
2 years ago
7

Find the equation of a line that is parallel to this line and passes through the point (4,0). Which of the following points are

on this line?
You can choose more than if there are multiple answer

◽(5,4)

◽(3,2)

◽(1,12)

◽(3,-4)

​

Mathematics
1 answer:
satela [25.4K]2 years ago
5 0

Answer: A and D

Step-by-step explanation:

To find the line that is parallel to the given line, we must find the slope of the original. Parallel lines NEVER touch or cross. That tells us the slope MUST be the same. To find the slope, we use the formula y=\frac{y_2-y_1}{x_2-x_1}.

y=\frac{4-0}{0-(-1)} =\frac{4}{1} =4

With the slope, we can form an equation for the line.

y=4x+b            [plug in given point]

0=4(4)+b         [multiply]

0=16+b            [subtract both sides by 16]

b=-16

Now that we have the y-intercept, we can find the equation.

y=4x-16

After plugging in each point into the equation, we know that A and D are correct points on the line.

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by the double angle identity for sine. Move everything to one side and factor out the cosine term.

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Now the zero product property tells us that there are two cases where this is true,

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Although this question asks for original work, and therefore, only you can complete it, we can provide an example to help you guide your work:

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