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## What is the slope-intercept equation of the line that is perpendicular to y-4=-2/3(x-6) and that passes through (-2, -2)?

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What is the slope-intercept equation of the line that is perpendicular to y-4=-2/3(x-6) and that passes through (-2, -2)?

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Mathematics
3 years
2021-09-04T20:04:42+00:00
2021-09-04T20:04:42+00:00 1 Answers
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## Answers ( )

Answer:The slope-intercept equation is:

Step-by-step explanation:Given the equation

comparing it with the point-slope form of the line equation

where m is the slope

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

The slope of the perpendicular line will be: 3/2

The point-slope form of the equation of the perpendicular line that goes through (-2, -2) is:

writing the line equation in the slope-intercept form

subtract 2 from both sides

Thus, the slope-intercept equation is:

Here,

As the slope-intercept form is

where m is the slope and b is the y-intercept

so

m=3/2

b = y-intercept = 1

Therefore, the slope-intercept equation is: