Answered

At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Find the equation of the line that is perpendicular to the given line and passes through the given point. Enter your answer in slope intercept for (y=mx+b) with the values of m and b given as decimals, rounded to the nearest hundredth if necessary. y=20x;(2,2)
The equation is y =
Please help very urgent! :)

Find The Equation Of The Line That Is Perpendicular To The Given Line And Passes Through The Given Point Enter Your Answer In Slope Intercept For Ymxb With The class=

Sagot :

Answer:

y = - 0.05x - 1.9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

y = 20x ← is in slope- intercept form

with slope m = 20

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}{20}[/tex] = - 0.05 , thus

y = - 0.05x + b ← is the partial equation

To find b substitute (2, - 2) into the partial equation

- 2 = - 0.1 + b ⇒ b = - 2 + 0.1 = - 1.9

y = - 0.05x - 1.9 ← equation of perpendicular line

Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.