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MA_775_DIABLO [31]
2 years ago
13

What is an equation of the line that passes through the point (-4,-7) and is perpendicular to the line 2x+3y=18??

Mathematics
1 answer:
Bezzdna [24]2 years ago
6 0

Answer:

y = 3/2x - 1

Step-by-step explanation:

Given: 2x + 3y = 18

The equation of the line in the slope-intercept form is y = -2/3x + 6.

slope = m = -2/3

The slope of the perpendicular line is negative inverse.

m = 3/2.  

Equation of the perpendicular line:

y = 3/2x + a.

Use the given point of (-4, -7) to find a:

-7 = (3/2)(-4) + a

a=−1.

y = 3/2x - 1

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Answer:

Here we will use algebra to find three consecutive integers whose sum is 300. We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 300. Therefore, you can write the equation as follows:

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To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:

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Step-by-step explanation:

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