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RideAnS [48]
2 years ago
5

How do I find the slope, domain, range and y intercept of y=-2x

Mathematics
1 answer:
Natasha2012 [34]2 years ago
5 0

Slope is defined as the rate of change, in this case the change in y with respect to x. In standard form for a binomial linear equation, y = mx + b. The constants m and b are the slope and intercept, respectively. For your equation, the slope is -2 and the intercept is 0. The domain (possible values of x) for this graph is (-∞, ∞) and the range (possible values of y) is also (-∞, ∞).

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Line g passes through points (5, 9) and (3, 2). Line h passes through points (9, 10) and (2, 12). Are line g and line h parallel
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For this case we find the slopes of each of the lines:

The g line passes through the following points:

(x_ {1}, y_ {1}) :( 3,2)\\(x_ {2}, y_ {2}) :( 5,9)

So, the slope is:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {9-2} {5-3} = \frac {7} {2}

Line h passes through the following points:

(x_ {1}, y_ {1}) :( 9,10)\\(x_ {2}, y_ {2}) :( 2,12)

So, the slope is:

m = \frac {y_ {2} -y_ {1}}{x_ {2} -x_ {1}} = \frac {12-10} {2-9} = \frac {2} {- 7} = - \frac {2} {7}

By definition, if two lines are parallel then their slopes are equal. If the lines are perpendicular then the product of their slopes is -1.

It is observed that lines g and h are not parallel. We verify if they are perpendicular:

\frac {7} {2} * - \frac {2} {7} = \frac {-14} {14} = - 1

Thus, the lines are perpendicular.

Answer:

The lines are perpendicular.

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2 years ago
Is 5359 divisible by 4
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Answer:

1339.75

Step-by-step explanation:

No, you will have remainder.

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3 years ago
Read 2 more answers
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