madiscoolerthanyou
Answered

Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Get immediate and reliable solutions to your questions from a community of experienced experts on our Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

A line passes through point. (6, -8) and has a slope of -3/2

Write an equation in Ax+By=C form for this line.

Sagot :

Answer:

3x + 2y = 2

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 )

Here m = - [tex]\frac{3}{2}[/tex] , then

y = - [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

To find c substitute (6, - 8 ) into the partial equation

- 8 = - 9 + c ⇒ c = - 8 + 9 = 1

y = - [tex]\frac{3}{2}[/tex] x + 1 ( multiply through by 2 to clear the fraction )

2y = - 3x + 2 ( add 3x to both sides )

3x + 2y = 2 ← in standard form

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.