Find the slope of the line that passes through the two given points, and determine if the line is a function. 1. O (7.5) and (10, -1) 2. (3. -2) end (3, 4) 3. (-2, 8) and (8, 6) (7,9) and (11, 9)

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter7: Equations And Inequalities In Two Variables
Section7.1: Rectangular Coordinate System And Linear Equations
Problem 43PS
icon
Related questions
Topic Video
Question
100%

Son needs help in Algebra class. Please assist with the attached files. 

Slope - Day 5
Name
Notes
Date
Period
In some cases, it is not always easy to find the y-intercept on the graph of a line. In previous
lessons, you were able to identify the y-intercept by looking at a graph or table of a linear
relationship. Today, you will learn a way to identify the y-intercept by using another method. In
order to find the y-intercept of a line, you must know the slope of the line.
verticalchange
Ay
A x
Slope is
horti zontalchange
Given the coordinates of two points you can aiso find the slope with the slope formula:
Ay. Y: -Y
(x:, y:) and (x2 y2) the slope is:
AX
X, - X
Find the slope of the line that passes through the two given points, and determine if the line is a
function.
(7, 5) and (10, -1)
2.
(3, -2) and (3, 4)
3.
(-2,8) and (8, 6)
4.
(7, 9) and (11, 9)
The foliowing formulas can be used to find the equation of a line.
Slope Intercept Form
Point - Slope Formula
y = mx + b or y = b+ mx
y- y = m(x - x)
Find the equation of a line given a slope and a point on the line or given two points on the line.
Slope of the line is 2 and it passes through the point (4 , 6).
Transcribed Image Text:Slope - Day 5 Name Notes Date Period In some cases, it is not always easy to find the y-intercept on the graph of a line. In previous lessons, you were able to identify the y-intercept by looking at a graph or table of a linear relationship. Today, you will learn a way to identify the y-intercept by using another method. In order to find the y-intercept of a line, you must know the slope of the line. verticalchange Ay A x Slope is horti zontalchange Given the coordinates of two points you can aiso find the slope with the slope formula: Ay. Y: -Y (x:, y:) and (x2 y2) the slope is: AX X, - X Find the slope of the line that passes through the two given points, and determine if the line is a function. (7, 5) and (10, -1) 2. (3, -2) and (3, 4) 3. (-2,8) and (8, 6) 4. (7, 9) and (11, 9) The foliowing formulas can be used to find the equation of a line. Slope Intercept Form Point - Slope Formula y = mx + b or y = b+ mx y- y = m(x - x) Find the equation of a line given a slope and a point on the line or given two points on the line. Slope of the line is 2 and it passes through the point (4 , 6).
Slope - Day 5
Name
Notes
Date
Period
6
Slope of the line is and it passes through the point (-2 , 3).
7.
The line passes through the points (3 , 5) and (4 , 1).
8.
The line passes through the points (-3 , -6) and (-12 , -6).
At noon, the temperature in Way Too Cold USA was 12 F. For the next 24 hours, the
temperature fell by an average of 3 F per hour.
Write an equation for the temperature, T, n hours after noon.
10.
What is the y-intercept of the equation? What does the y-intercept tell you about the
situation?
11.
What is the slope of the equation? What does the slope tell you about this situation?
12.
What was the temperature at 7 p.m. in Way Too Cold?
Transcribed Image Text:Slope - Day 5 Name Notes Date Period 6 Slope of the line is and it passes through the point (-2 , 3). 7. The line passes through the points (3 , 5) and (4 , 1). 8. The line passes through the points (-3 , -6) and (-12 , -6). At noon, the temperature in Way Too Cold USA was 12 F. For the next 24 hours, the temperature fell by an average of 3 F per hour. Write an equation for the temperature, T, n hours after noon. 10. What is the y-intercept of the equation? What does the y-intercept tell you about the situation? 11. What is the slope of the equation? What does the slope tell you about this situation? 12. What was the temperature at 7 p.m. in Way Too Cold?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Propositional Calculus
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College