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2 years ago

(High points) please solve with explanation. Legit answers only thank you!

Mathematics

1 answer:

ollegr [7]2 years ago

8 0

Step-by-step explanation:

The x-intercept is at (-3, 0). To find the slope of the perpendicular line, let's rewrite the equation to its slope-intercept form, which is

y = (2/3)x + 2

This means that the perpendicular line has a slope m = -3/2. So the slope-intercept form of this new line is

y = -(3/2)x + k. Since this line passes through (-3, 0), we cal solve for k:

0 = -(3/2)(-3) + k or k = -9/2

So our equation becomes (slope-intercept form)

$y = - \frac{3}{2}x - \frac{9}{2}$

or in its standard form,

$3x + 2y + 9 = 0$

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