This isn't graded, I'm not sure why it says it is, It's participation grade for delta math and I need help **Write the equation of the line fully simplified slope-intercept form.**In the graph presented, there is a Cartesian plane with both x and y-axes labeled. The x-axis ranges from -12 to 12, and the y-axis also ranges from -12 to 12. There is a straight line passing through the plane.The line appears to intersect the y-axis at approximately -8 and slopes upwards towards the right. To write the equation of the line in slope-intercept form, use the formula:\[ y = mx + b \]Where \( m \) is the slope and \( b \) is the y-intercept.### Steps to Determine the Equation:1. **Identify Two Points on the Line:** - The line intersects the y-axis at (0, -8). - It passes another grid point, for example at (4, -6)2. **Calculate the Slope (m):** - Use the slope formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] - Using the points (0, -8) and (4, -6): \[ m = \frac{-6 - (-8)}{4 - 0} = \frac{2}{4} = \frac{1}{2} \]3. **Write the Equation:** - With the slope \( m = \frac{1}{2} \) and y-intercept \( b = -8 \), the equation is: \[ y = \frac{1}{2}x - 8 \]This is the fully simplified slope-intercept form of the line shown in the graph.

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Description: This isn't graded, I'm not sure why it says it is, It's participation grade for delta math and I need help **Write the equation of the line fully simplified slope-intercept form.**In the graph presented, there is a Cartesian plane with both x and y-a

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Answered: Write the equation of the line fully…

Math

Algebra

Write the equation of the line fully simplified slope-intercept form.

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,...

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