Answered

Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Discover comprehensive answers to your questions from knowledgeable professionals on our user-friendly platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

 Find the equation of the line that is perpendicular to 4 x + 3 y = 5 and goes through the point (3, –3)

Sagot :

reinhard10158

Step-by-step explanation:

the line equation

y = ax + b

gives us slope (a) and y-interception (b).

4x + 3y = 5

3y = -4x + 5

y = -4/3 × x + 5/3

the slope of the original line is therefore -4/3.

a perpendicular slope flips x and y upside-down and flips the sign.

so, the perpendicular slope of -4/3 is 3/4.

the desired line looks like

y = 3/4 × x + b

b we get by using the given point and its coordinates :

-3 = 3/4 × 3 + b = 9/4 + b

-12/4 = 9/4 + b

b = -21/4

so our full line equation is

y = 3/4 × x - 21/4

or

4y = 3x - 21

-3x + 4y = -21

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.