Graph the line with slope 2/3 passing through the point (−3, 2).. **Section 3.2: Lines and Functions - Graphing a Line Through a Given Point with a Given Slope****Question:**Graph the line with slope \(-\frac{1}{2}\) passing through the point \((-5, 4)\).**Explanation:**We can rewrite the slope \(-\frac{1}{2}\) as \(-\frac{2}{4}\) to get the following:\[\text{slope} = \frac{\text{rise}}{\text{run}} = \frac{-1}{2}\]The line passes through the point \((-5, 4)\).1. We start at this point and use the rise and run to find a second point on the line.2. The **run** is 2, so we add 2 to the x-coordinate (This corresponds to moving 2 units to the right).3. The **rise** is -1, so we add -1 to the y-coordinate (This corresponds to moving 1 unit downward).Calculations:\[(-5 + 2, \, 4 + (-1)) = (-3, 3)\]We use \((-5, 4)\) and \((-3, 3)\) to graph the line.**Answer:**A graph shows the plotted points \((-5,4)\) and \((-3,3)\) with a line drawn through them, representing the slope of \(-\frac{1}{2}\).**Another Explanation:**- We can rewrite \(-\frac{1}{2}\) as \(-\frac{2}{4}\), setting slope = \(\frac{\text{rise}}{\text{run}} = -\frac{1}{2}\).- Starting at \((-5, 4)\), we use this rise and run to find another point.- **Run** is 2 (move 2 units right), **rise** is -1 (move 1 unit down): \[(-5 + (-2), \, 4 + 1) = (-7, 5)\]We use points \((-5, 4)\) and \((-7, 5)\) to graph the line.**Graph Description:**- The graph includes an x-y coordinate plane.- Points \((-5, 4)\) and \((-3,

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Answered: Graph the line with slope 2/3 passing…

Graph the line with slope 2/3 passing through the point (−3, 2). .

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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