144k views
5 votes
Please help me do this question I have a test soon!

Please help me do this question I have a test soon!-example-1

1 Answer

2 votes

Answer:

2x + 3y - 4 = 0

Explanation:

Equation of the line → 2x - 3y + 4 = 0

3y = 2x + 4

y =
(2)/(3)x+(4)/(3)

Slope of this line 'm' =
(2)/(3)

y-intercept of this line → y =
(4)/(3) Or
(0, (4)/(3))

Let the equation of the line is,

y = m'x + b'

By the property of perpendicular lines,

m × m' = -1


(2)/(3)* m'=-1

m' =
-(3)/(2)

Equation of the perpendicular line will be,

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

Since this line passes through
(0, (4)/(3)),


(4)/(3)=-(3)/(2)* 0+b'

b' =
(4)/(3)

Therefore, equation of the perpendicular line will be,

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

3y = -2x + 4

2x + 3y - 4 = 0

User Alex Rockwell
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories