#12 & #17 Consider the following two points: (4,6) and (-5, -6). Answer the following questions.a. Find the slope of the line.b. Use point slope form to find the equation of the line in slope-intercept form.c. Write the equation in standard form.d. Find the x-intercept.e. Find the y-intercept.

Name: #12 & #17 Consider the following two points: (4,6) and (-5, -6). Answe
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Description: #12 & #17 Consider the following two points: (4,6) and (-5, -6). Answer the following questions.a. Find the slope of the line.b. Use point slope form to find the equation of the line in slope-intercept form.c. Write the equation in standard form.d. F

Answered: Consider the following two points:…

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter9: Systems Of Linear Equations

Section9.7: Puzzle Problems

Problem 2MRE

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#12 & #17

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Step 1

$G i v e n, T h e t w o p o i n t s : (4, 6) a n d (- 5, - 6)$

Step 2

$P a r t a S l o p e o f t h e l i n e = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{- 6 - 6}{- 5 - 4} = \frac{- 12}{- 9} = \frac{4}{3} P a r t b T h e e q u a t i o n o f t h e l i n e i s \Rightarrow y - 6 = \frac{4}{3} (x - 4) \Rightarrow y - 6 = \frac{4}{3} x - \frac{16}{3} \Rightarrow y = \frac{4}{3} x - \frac{16}{3} + 6 \Rightarrow y = \frac{4}{3} x + \frac{18 - 16}{3} \Rightarrow y = \frac{4}{3} x + \frac{2}{3} w h i c h i s i n t h e s l o p e - i n t e r c e p t f o r m .$

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