University:
High School
Course:
High School Algebra
Academic year:

2021
Views:

484

Pages:

4
Author:

Caroline Arnold

у-у1 = т(х-х1) Writing Equations in Point-Slope form Core Concepts Point-Slope Form Words А linear equation written in the form у - у1 = т(х - х1 ) is in point-slope form. The line passes through the point (х1 ,у1), and the slope of the line is т. passes through (х1 , у1 ) х Extra Practice ln Exercises 1-6, write an equation in point-slope form of the line that passes through the given point and has the given slope. ' m=2 '·т = -3 1. 3. (- - ; т = -1 у - -2. у - , -;_ -3 (х --2") 1У-1 � -� у-о .,, f7 ( rx -+ i')] т - 4 4. � 1 (х --5) = - 1 (х - - l \ 1: 5. ( -7-1 '• т = 7 у - � =- l (х - о\\ ' 1 - ·.:: -1(xt1.: . �..___; 1/ 6. 1 \ у- '. т = _l_ 2 2. -' ( • '1 ::. z.(-X--1) ln Exercises 7-12, write ап equation in slope-intercept form of the line shown. 7. 8. у - -2. :_ 2- ( j(. - 1\ у - Z- :_ -\ t 'Х - ') ·\(?С\ �1(-1\ i ( �) 1(·11 ';-2--?<-+I ,! : ..1 ·; 9. • 2 1---1--4--.1--1---1 -t ,_ � " ', "� ;ь ·\ 'l -z.) '- -4 \ r � ! '1•· .\ \ ' ( • - (-4, 1) -r-, -2 �r 2 - 1 ·+ 1 t -Ч t r- --· 11 ;г.. t-.�4х ,, -2·1--,_ (4. -1)f- � 1 1 / - '2 l. \ (, 1 ( • ч ) �ч Т-1 \/ 1 11. -)-:�'J 1 · - ,\ .-�� 111 ..... у- -l\:. 'f -f 1 :: � �@ 3( ;:,;: �� -,\ ){?(:-t-1\ 3(,с_\ 3[1) ·)·Х + -� -с, 12. � �r �� о z. 2-- 1 �� 2•- (1,.1),_,-:.2 ' '(2, О] . 4 х \ \1 - .. 2., 1 :.(ЬJ � У - о � -i. (х --г - 2-\ (-;х'1 -}{-() ---==;.__- ' j � - 7.. 'Х ч ln Exercises 19 and 20, tel1 whether the data in the tаЫе can Ье modeled Ьу а linear equation. Explain. lf possiЫe, write а linear equation that represents у as а function of х. у fO �4 >' - l,- - ;@ 2- �+fhe.re_ i') 4 C.ol\.S� \ С,�1\�е.(+2'5\ :н) +h.;t, rи� i� -•о ::. -1 D о+- -=. s·L·/ , ' /;nee:t( \''- � у :. н -;S'] о 7-- 21. 5'1 1 Craig is driving at а constant speed of 60 \niles per hour. After driving З hощ� his odometer reads 265 miles. Write а linear function D that represents the miles driven after h hours. D ( h\ :. �о h +- Ь :>v fo} 2(,S:; 1�O4t_, 1 r.:, О ":.ljJ�Q_ s-:: What does the odometer Iead after '7 hours of continuous driving? Cf !i) D(7') � �0(7) +�5' -:.. Ч '2-0 + � 5" f) ( 7 J :- SO':i j -------�- h"1 "�о �--t- �s- l