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Enis · Answer 1 · 2023-10-02T11:14:36+0000

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Explanation

Given information

$\begin{gathered} \text{Slope of the line =- }(1)/(3) \\ \text{ Points = (-1, 2)} \end{gathered}$

Step 1: Find the slope-intercept equation of the line using the below formula

$(y\text{ - y1) = m(x - x1)}$

Where m is the slope of the line

From the given data, we have

$\begin{gathered} m\text{ = -}(1)/(3) \\ x1\text{ = -1 and y1 = 2} \end{gathered}$

Substitute the data into the above formula

$\begin{gathered} (y\text{ - 2) = -}(1)/(3)\lbrack(x\text{ -(-1)\rbrack} \\ (y\text{ - 2) = -}(1)/(3)(x\text{ + 1)} \\ \text{open the parentheses} \\ y\text{ - 2 = -}(1)/(3)x\text{ - }(1)/(3) \\ \text{Add 2 to the both sides of the equation} \\ y\text{ - 2 + 2 = -}(1)/(3)x\text{ - }(1)/(3)\text{ + 2} \\ y\text{ = -}(1)/(3)x\text{ + }(5)/(3) \end{gathered}$

Step 2: Graph the above slope-intercept equation

Graph the line with slope-1/3passing through the point (-1,2)-example-1

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