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2 years ago

what is an equation of the line that passes through the point (-8,0) and is parallel to the line x+2y=14

1 answer:

6 0

Answer:

y = -1/2x - 4

Step-by-step explanation:

First we wanna convert x + 2y = 14 into a slope-intercept equation.

x + 2y = 14

2y = 14 - x

y = 7 - x/2 or y = -1/2x + 7

Now that we have the line in slope-intercept form, we can solve for a line that is parallel to.

But first, what do parallel lines have in common? Parallel lines never intersect first of all and second they have the same slope so meaning we’re going to use -1/2 in order to find the equation of a parallel line so…

y = -1/2x + b

use the given point in the question

0 = -1/2(-8) + b

0 = 4 + b

b = 0 - 4

b = -4

The y-intercept of the line is -4

The equation of the line that passes through the point (-8, 0) and is parallel to the line x + 2y = 14 is y = -1/2x - 4

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3 years ago

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What is the slope of this line?

nataly862011 [7]

Answer: $-\frac{8}{5}$

Remember: RISE/RUN (y/x). Lines that are increasing have a positive slope, and lines that are decreasing have a negative slope.

You can find the slope in two ways:

1. Useful if the line is graphed: count the units between 2 points on the line.

Let's use the points (-1, 4) and (4, -4).

(-1, 4) is 8 units higher than (4, -4) and 5 units to the left of (4, -4).

Because the line is decreasing, the slope is negative.

Therefore, the slope is $-\frac{8}{5}$ .

2. Useful if the line is not graphed: find the difference between the y-coordinate values divided by the difference of the x-coordinate values.

Let's use the points (-1, 4) and (4, -4).
$\frac{-4 - 4}{4 - (-1)} = \frac{-8}{5}$

Therefore, the slope is $-\frac{8}{5}$ .

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3 years ago

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3 years ago

Help me i need it ASAP

Snowcat [4.5K]

Answer:

m = 13

Step-by-step explanation:

To isolate the variable, you undo what is being done to it. Here, we have the variable being multiplied by 7, hence, we divide both sides by 7 and the result is the variable isolated and solved.

1. 7m = 91

2. (7m)/7 = 91/7

3. m = 13

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3 years ago