Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.
Sagot :
Answer:
4x + 9y = - 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
9x - 4y = - 5 ( subtract 9x from both sides )
- 4y = - 9x - 5 ( divide terms by - 4 )
y = [tex]\frac{9}{4}[/tex] x + [tex]\frac{5}{4}[/tex] ← in slope- intercept form
with slope m = [tex]\frac{9}{4}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{9}{4} }[/tex] = - [tex]\frac{4}{9}[/tex] , then
y = - [tex]\frac{4}{9}[/tex] x + c ← is the partial equation
To find c substitute (- 9, 3 ) into the partial equation
3 = 4 + c ⇒ c = 3 - 4 = - 1
y = - [tex]\frac{4}{9}[/tex] x - 1 ( multiply through by 9 to clear the fraction )
9y = - 4x - 9 ( add 4x to both sides )
4x + 9y = - 9 ← equation in standard form
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.
