Answered

Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Discover detailed solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

Which equation represents a line passing through the point (8, 9) with a slope of 3?

Sagot :

ljbader3oyyrcd
Point slope form equation: y-y1=m(x-x1)

Step 1: plug in the x and y values- y-9=m(x-8)
Step 2: plug in the slope, then you have your answer- y-9=3(x-8)

The equation of a line passing through the point (8, 9) with a slope of 3 is y = 3x - 15.

What is the equation of a line passing through two given points in 2-dimensional plane?

Suppose the given points are [tex](x_1, y_1) and (x_2, y_2),[/tex]

then the equation of the straight line joining both two points is given by

[tex](y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)[/tex]

We have been given a line passing through the point (8, 9) with a slope of 3.

then the equation of the straight line joining both two points is given by

[tex](y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)[/tex]

Its slope would be:

[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

m = 3

Therefore, the equation of the straight line

[tex](y - 9) = 3 (x -8)\\\\y - 9 = 3x - 24\\\\y = 3x -15[/tex]

Hence, the equation of a line passing through the point (8, 9) with a slope of 3 is y = 3x - 15.

Learn more about straight-line equations here:

https://brainly.com/question/380976

#SPJ2

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.