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kondor19780726 [428]
3 years ago
11

Line m passes through the points (-2,7) and (4,-5), as shown below. Which of the following could be the equation of a line that

is parallel to line m?

Mathematics
1 answer:
True [87]3 years ago
3 0

Slope-intercept form:  y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

For lines to be parallel, they need to have the same slope.

To find the slope (m), use the slope formula:

m=\frac{y_2-y_1}{x_2-x_1}      And plug in the two points

(-2, 7) = (x₁, y₁)

(4, -5) = (x₂, y₂)

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

m=\frac{-5-7}{4-(-2)}   (two negative signs cancel each other out and become positive)

m=\frac{-5-7}{4+2}

m=\frac{-12}{6}     Simplify the fraction

m = -2        

The slope is -2, so the parallel line's slope is also -2.

Your answer is C

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What is the value of a for the following circle in general form?<br> x2 + y² + ax + by+c=0
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Answer:

Step-by-step explanation:

x2+y2+ax+by+c=0

Step 1: Add -by to both sides.

ax+by+x2+y2+c+−by=0+−by

ax+x2+y2+c=−by

Step 2: Add -x^2 to both sides.

ax+x2+y2+c+−x2=−by+−x2

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Step 5: Divide both sides by x.

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6 0
2 years ago
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Please help quick will give brainliest
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25t means "25 times t" where t is some unknown number. It is a placeholder for a number.

To find what the number is, we undo what is happening to t. So we divide both sides by 25 to undo the operation "multiply by 25"

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25*t = 1125

25*t/25 = 1125/25 divide both sides by 25

t = 45

---------

<h3>Answer: 45</h3>

As a check, we can plug t = 45 into the equation and we should get the same value on both sides

25*t = 1125

25*45 = 1125 replace every t with 45

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