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jeka57 [31]
3 years ago
9

EASY AND BRAINLIEST!!!!

Mathematics
1 answer:
nirvana33 [79]3 years ago
3 0

Answer:

6x-4y=15

Step-by-step explanation:

step 1

Find the slope of line L

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal

In this problem we have

2x + 3y = 5

Isolate the variable y

3y = -2x+5\\y=-(2/3)x+(5/3)

The slope of the given line is

m=-2/3

so

The slope of the Line L is

m=3/2

step 2

Find the x-intercept of the line

2x + 3y = 5

The x-intercept is the value of x when the value of y is equal to zero

so

For y=0

2x + 3(0) = 5\\x=5/2

The x-intercept is the point (5/2,0)

step 3

Find the equation of the line L

Find the equation of the line in point slope form

y-y1=m(x-x1)

we have

m=3/2\\point (5/2,0)

substitute

y-0=(3/2)(x-5/2)

y=(3/2)x-(15/4)

Convert to standard form

AX +By+C

where

A is a positive integer

B and C are integers

Multiply both sides by 4

4y=6x-15\\6x-4y=15

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