Use the given conditions to write an equation for the line in point-slope form and slope-intercept form. Passing through (−4,−4) and (4,6) Part 1 Type the point-slope form of the equation of the line. ________________ (Use integers or simplified fractions for any numbers in the equation.) Part 2 Type the slope-intercept form of the equation of the line.____________________ (Use integers or simplified fractions for any numbers in the equation.)
Use the given conditions to write an equation for the line in point-slope form and slope-intercept form. Passing through (−4,−4) and (4,6) Part 1 Type the point-slope form of the equation of the line. ________________ (Use integers or simplified fractions for any numbers in the equation.) Part 2 Type the slope-intercept form of the equation of the line.____________________ (Use integers or simplified fractions for any numbers in the equation.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.4: Scatter Plots And Line Of Fit
Problem 11PPS
Related questions
Question
HW9 - Two Part Problem
Use the given conditions to write an equation for the line in point-slope form and slope-intercept form.
Passing through (−4,−4) and (4,6)
Part 1
Type the point-slope form of the equation of the line. ________________
(Use integers or simplified fractions for any numbers in the equation.)
Part 2
Type the slope-intercept form of the equation of the line.____________________
(Use integers or simplified fractions for any numbers in the equation.)
Please show work.
Expert Solution
Step 1
Solution ) 1) points ( - 4 , - 4 ) and ( 4 , 6 )
Slope ( m ) = ( y2 - y1)/(x2 - x1)
m = 6 - ( -4 ) / 4 - ( - 4 )
m = 10 / 8
m= 5/4
We have two points we can choose any one of two points
We choose ( -4 , -4 )
Point slope form of the equation
y - y1 = m ( x - x1)
y - (- 4 ) = 5/4 ( x - ( - 4 ) )
y + 4 = 5/4 ( x + 4 )
4 (y + 4 ) = 5 ( x + 4 )
4y + 16 = 5x + 20
5x + 20 - 4y - 16 = 0
5x - 4y + 4 = 0
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning