maddymcg408
Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Join our Q&A platform to get precise answers from experts in diverse fields and enhance your understanding. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

8.
Write the equation of a line that is perpendicular to the given line and that passes through the given point.

y= 2/3x + 9; (–6, 5)
A. y= 2/3x + 9
B. y= -2/3x + 1
C. y= -3/2x - 4
D. y= -3/2x + 3/2

8 Write The Equation Of A Line That Is Perpendicular To The Given Line And That Passes Through The Given Point Y 23x 9 6 5 A Y 23x 9 B Y 23x 1 C Y 32x 4 D Y 32x class=
8 Write The Equation Of A Line That Is Perpendicular To The Given Line And That Passes Through The Given Point Y 23x 9 6 5 A Y 23x 9 B Y 23x 1 C Y 32x 4 D Y 32x class=
8 Write The Equation Of A Line That Is Perpendicular To The Given Line And That Passes Through The Given Point Y 23x 9 6 5 A Y 23x 9 B Y 23x 1 C Y 32x 4 D Y 32x class=
8 Write The Equation Of A Line That Is Perpendicular To The Given Line And That Passes Through The Given Point Y 23x 9 6 5 A Y 23x 9 B Y 23x 1 C Y 32x 4 D Y 32x class=

Sagot :

cydneymrobinson

Answer:

B

Step-by-step explanation:

I had this question before

lalamcg115

Answer:

C. y= -3/2x - 4

Step-by-step explanation:

Option 2, y=-3/2x-4

Step-by-step explanation:

Solve with the point-slope formula: y-y1=m(x-x1). The line is perpendicular, meaning the slope of the new equation will be the oppposite reciprocal of the original slope.

First, we need to rewrite the original equation into standard form.

2x-3y=13

-3y=13-2x

y=-13/3+2/3x

From this, we can see that the slope here is 2/3. Since the line we're looking for is perpendicular, the opposite reciprocal of that slope is -3/2.

Now, we can plug in the coordinates we have into the formula (-6, 5), along with our slope (-3/2).

y-(5)=-3/2(x+6)

y-5=-3/2x-9

y=-3/2x-4

And to check, we can just plug the coordinates into our new equation:

Check:

(5)=-3/2(-6)-4

5=9-4

5=5

Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.