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borishaifa [10]
3 years ago
15

Given the graph of a line y=−x. Write an equation of a line which is parallel and goes through the point (−8,2)

Mathematics
1 answer:
Savatey [412]3 years ago
5 0

Answer:

The parallel line would be y = -x - 6

Step-by-step explanation:

In order to find the parallel line, we must first start with the slope. The slope of parallel lines must be equal. The first line has a slope of -1. Using this and the new point in slope intercept form, we can solve for the intercept.

y = mx + b

2 = -1(-8) + b

2 = 8 + b

-6 = b

Now we can model the equation using that slope and the intercept.

y = -x - 6

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Write the equation of the line that passes through points (-4, 5) and (0,13) in slope-intercept form.
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Answer:

The answer is

y = 2x + 13

Step-by-step explanation:

Remember:

Slope-intercept form: \:  \\ y = mx + b \\  \\ m = slope \\ b = y - intercept

M =  \frac{y_2 - y_1}{x_2 - x_1}

First: Find the slope.

M =  \frac{13 - 5}{0 - ( - 4)} =  \frac{8}{4}   = 2

.

Second: Solve for the y-intercept

y = mx + b \\ 5 = 2( - 4) + b \\ 5 =  - 8 + b \\   \frac{+ 8 =  + 8 \:  \:  \:  \:  \:  \:  \:  \: }{13 = b}

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Third: Plug in.

y = mx + b \\ y = 2x + 13

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3 years ago
What’s an injective function?
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Answer:

an Injective function is a function that maps distinct elements of its domain to distinct elements of its codomain. In other words, every element of the function's codomain is the image of at most one element of its domain.

Step-by-step explanation:

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