arks insert zeus meme h Gign in MobyMa% 600GLE GOGGLE Dumb math game Write the equation of the line fully simplified slope-intercept form. 12 11 10 9. 2. 12-11-10-9-87-6-5-43-2 1 2 3 4 5 67 8 9 10 11 12 12
arks insert zeus meme h Gign in MobyMa% 600GLE GOGGLE Dumb math game Write the equation of the line fully simplified slope-intercept form. 12 11 10 9. 2. 12-11-10-9-87-6-5-43-2 1 2 3 4 5 67 8 9 10 11 12 12
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.CR: Chapter Review
Problem 7CC
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![**Title: Understanding Slope-Intercept Form**
**Objective:**
Write the equation of the line in fully simplified slope-intercept form.
**Graph Analysis:**
- The graph shows a straight line on a Cartesian plane.
- The vertical axis (y-axis) and horizontal axis (x-axis) are labeled with numbers ranging from -12 to 12.
- The line passes through the points on the grid, with arrows indicating it extends infinitely.
**Line Details:**
- Slope (\(m\)): To find the slope, identify two points the line passes through. For instance, the line crosses through (-4, -4) and (4, 4). Slope is calculated as \(m = \frac{{\Delta y}}{{\Delta x}}\). Here, \(m = \frac{4 - (-4)}{4 - (-4)} = \frac{8}{8} = 1\).
- Y-intercept (\(b\)): The line crosses the y-axis at (0, 0). Hence, the y-intercept \(b = 0\).
**Equation:**
The equation in slope-intercept form (\(y = mx + b\)) is:
\[ y = x \]
This linear equation indicates a line with a slope of 1 and a y-intercept of 0. The line is at a 45-degree angle with both axes, moving upwards from left to right. It’s a direct representation of proportional relationship where y equals x.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa56bb564-a7bd-4c83-ab8d-67b37b43cd59%2Fdc5a6ebb-91fa-41b8-bb4d-1a4194175711%2Fx87z4t1.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Understanding Slope-Intercept Form**
**Objective:**
Write the equation of the line in fully simplified slope-intercept form.
**Graph Analysis:**
- The graph shows a straight line on a Cartesian plane.
- The vertical axis (y-axis) and horizontal axis (x-axis) are labeled with numbers ranging from -12 to 12.
- The line passes through the points on the grid, with arrows indicating it extends infinitely.
**Line Details:**
- Slope (\(m\)): To find the slope, identify two points the line passes through. For instance, the line crosses through (-4, -4) and (4, 4). Slope is calculated as \(m = \frac{{\Delta y}}{{\Delta x}}\). Here, \(m = \frac{4 - (-4)}{4 - (-4)} = \frac{8}{8} = 1\).
- Y-intercept (\(b\)): The line crosses the y-axis at (0, 0). Hence, the y-intercept \(b = 0\).
**Equation:**
The equation in slope-intercept form (\(y = mx + b\)) is:
\[ y = x \]
This linear equation indicates a line with a slope of 1 and a y-intercept of 0. The line is at a 45-degree angle with both axes, moving upwards from left to right. It’s a direct representation of proportional relationship where y equals x.
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