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Hi! please help! give a full clear answer pls! thank you!

Hi! please help! give a full clear answer pls! thank you!-example-1
User Lcm
by
7.8k points

1 Answer

2 votes

Answer: y =
(3)/(2)x + 7

Explanation:

First, we will write the given equation in slope-intercept form. To do this we will isolate the y-variable.

2x + 3y = 21 ➜ y = -
(2)/(3)x + 7

A perpendicular line will have the negative reciprocal as it's slope. Then, we will substitute the given coordinate point to solve for the y-intercept.

y = mx + b

y =
(3)/(2)x + b

4 =
(3)/(2)(-2) + b

4 = -
(6)/(2) + b

4 = -3 + b

7 = b

Lastly, we can create our equation.

y = mx + b

y =
(3)/(2)x + 7

User Goyalankit
by
7.5k points

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