artasticdrawing
Answered

Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Discover in-depth solutions to your questions from a wide range of experts on our user-friendly Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Write in point slope form an equation of the line through the pair of points.
(9,8) and (6,1)
________________________________________________
What is an equation of the line in point-slope form? Show your work.
A.) y - 8 = -7/3(x - 9)
B.) x - 8 = 7/3(y - 9)
C.) y = -7/3x - 13
D.) y - 8 = 7/3(x-9)

Sagot :

1frogaroni
I think it’s A I solved it and that was my answer.
fieryanswererft

Answer:

d) y - 8 = 7/3(x - 9)

Explanation:

[tex]\sf point-slope\:form :[/tex]

[tex]\sf y - y_1 = m(x - x_1) \ \ where \ (x_1, y_1), \ (x_2, y_2) \ are \ points \ and \ m \ the \ slope[/tex]

Find the slope:

[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]

[tex]\sf \rightarrow slope\ (m) : \dfrac{1-8}{6-9} = \dfrac{-7}{-3} = \dfrac{7}{3}[/tex]

Find the equation:

in point slope form:

[tex]\sf y - 8 = \dfrac{7}{3} (x - 9)[/tex]

[tex]\sf y = \dfrac{7}{3} x - 21+8[/tex]

in slope intercept form

[tex]\sf y = \dfrac{7}{3} x -13[/tex]

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.