### Understanding Slope and Y-InterceptThe task involves analyzing the given graph to determine the slope and y-intercept of the line.#### Graph Description- The graph is a standard Cartesian plane with the x-axis and y-axis intersecting at the origin (0,0).- The x-axis ranges from -6 to 6, and the y-axis ranges from -6 to 6.- A straight line passes through the graph with a positive slope.#### Important Points to Note- The line crosses the y-axis at (0,2). This point is the y-intercept of the line.- The line also passes through the point (-2,0) on the x-axis.#### Calculating the Slope (m)Slope is calculated using the formula:\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]Taking two points from the graph:- Point 1: (0, 2)- Point 2: (-2, 0)Substitute these into the formula:\[ m = \frac{0 - 2}{-2 - 0} = \frac{-2}{-2} = 1 \]The slope $ m $ is 1.#### Identifying the Y-Intercept (b)- The y-intercept is the point where the line crosses the y-axis.- From the graph, this occurs at (0, 2), so the y-intercept $ b $ is 2.#### Summary- **Slope $ m $ = 1**- **Y-intercept $ b $ = 2** This analysis of the graph concludes with the identification of the line’s slope and y-intercept, essential for understanding linear equations.

Answered: Image /qna-images/answer/904387e9-bd25-4a6f-859c-129458d28088.jpg

Answered: y 9. -4 2. 6. -2 -4 slope m =…

Math

Algebra

y 9. -4 2. 6. -2 -4 slope m = y-intercept b = 4, 2.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Related questions

Q: 1. Line c has an equation of y through (-6,4). What is the equation of linc d 2. Line d is parallel…

Q: State the slope of the line and name two points on the line

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: passes through (4, 7), slope = 2

Q: 3. Passes through (-1,4) and m = -1 Point-Slope: Slope-Intercept:

Q: L1:(-2, – 5) and (4, -2) L2: (-8, –5) and (0, –1)

A: You can find the slope(m) if two points (x1,y1) and (x2,y2) are given as: When two slopes are…

Q: Find the equation of the line passing through (-5.06, 4.13) with slope 40.9809

A: We find the equation of the line passing through (-5.06, 4.13) with slope 40.9809

Q: determine the slope of the line

A: Given- To Find- The slope of the above line. Concept Used- m=tanθ

Q: Write an equation in slope-intercept form of the line having the- given slope and y-intercept. 29.…

A: The equation of line in slope intercept form is y=mx+c where m is slope of line and c is y…

Q: Choose the slope that is perpendicular to -2. Your answer: -2 Clear answer ent Back Next 1/2 /2 2.

Q: Graph the line with slope -1 passing through the point (-4, 4). 10 10

Q: What's the Slope that passes through Each Pair AC13),B(4,7)

Q: 4. Find the slope of a line parallel to 2y-6x+8- 3. -3

Q: A line with a slope of 4 that passes through the point (-14, 4). - Hint (b): A line with a slope of…

A: b)Given that,Slope of line =-34 and passes through the point (-14,4)as we know equation of line with…

Q: Use the table to select all sets of two ordered pairs that result in slope of 1? 1. (-5, 3) 2. (-2,…

Q: What are the slope and y-intercept from the table below?

A: Given : when x = 1 , y = 8 x = 2 , y = 6 x = 3 , y =…

Q: Point (-2, 7), slope = -3 %3D b. Second point:

A: we have point (x1,y1)=(-2,7) and slope m=-3

Q: Line A has a slope of -4 and passes through the point (-25,-10). Line B has x-intercept of 10 and…

Q: Write the equation of the line with a slope of -3 that contains the point (-4, 8). 3x

A: The equation of line with slope "m" and passing through a point (a,b) is given by y-b = m*(x-a)

Q: Determine the equation of the line with a slope m=97 ,passing through the point (7, 9). Procide…

Concept explainers

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.

Question

100%

### Understanding Slope and Y-Intercept

The task involves analyzing the given graph to determine the slope and y-intercept of the line.

#### Graph Description

- The graph is a standard Cartesian plane with the x-axis and y-axis intersecting at the origin (0,0).
- The x-axis ranges from -6 to 6, and the y-axis ranges from -6 to 6.
- A straight line passes through the graph with a positive slope.

#### Important Points to Note

- The line crosses the y-axis at (0,2). This point is the y-intercept of the line.
- The line also passes through the point (-2,0) on the x-axis.

#### Calculating the Slope (m)

Slope is calculated using the formula:

\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

Taking two points from the graph:
- Point 1: (0, 2)
- Point 2: (-2, 0)

Substitute these into the formula:

\[ m = \frac{0 - 2}{-2 - 0} = \frac{-2}{-2} = 1 \]

The slope $ m $ is 1.

#### Identifying the Y-Intercept (b)

- The y-intercept is the point where the line crosses the y-axis.
- From the graph, this occurs at (0, 2), so the y-intercept $ b $ is 2.

#### Summary

- **Slope $ m $ = 1**
- **Y-intercept $ b $ = 2**

This analysis of the graph concludes with the identification of the line’s slope and y-intercept, essential for understanding linear equations.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Concept used

VIEW

Solution for the given Problem

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Cartesian Coordinates$

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.

Similar questions

Name m 3. y = 10+ 3x 4. y = 0.5x 6. y = -5x + 2 5. y = -3x y-intercept: O y-intercept: y-intercept: y-intercept: Slope= SlOpe-o.5 SUPE = SlOpe= relationship. Then match each of the following equations with the appropriate table. y 5-2x y=x+3.5 y=2x-1 y=2x y=-3x-5 Slope: Slope: Slope: Slope: Slope: y-intercept: y-intercept: y-intercept: y-intercept: y-intercept: 3 4 1 3 4 3 4 4 6. 8 3.5 4.5 5.5 6.5 7.5 y 3 9. Equation: Equation Equation 3. 4. 3 4 5 1 -1 -3 y -11 -14 -17 -20 -23 Equation: Equation: In 8-12, the tables linear Give the and the of the graph of each
What is the equation of the line with a slope of 1 which passes through the point ("5, 6)? A. y = "4x + 3 B. y = x + 7 C. y = x + 11 D. y = 3x + 4 O A O B O c
Find the slope m of the line that passes through the two given points. (3, 2) and (6, 11) STEP 1: Label the coordinates of each ordered pair. and (6,11) ( 3,2 ) X1 У1 X2 Y2 STEP 2: Substitute the values into the slope definition and simplify. Y2 - Y1 m = X2 - X1 2 6. = 3
What is the slope of the line from the graph below? y 41 (4,3) 2. 2 4 (1,-1) 2.
I need help, helping my son plot these on graph paper.
Find the equation of the line passing through (-5.14, 3.74) with slope 41.624. y =
9. Fill in the table with the appropriate information. Equation Slope y-intercept y = y = -9 y 5z 1 y = Write an equation with a slope = 3 and a y-intercept = -2.