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Given the line below.754(2.2)23455432(-2,-2) 234Write the equation of the line, in point-slope form. Identify the point (-2, -2) as (x₁, y₁). Use the boxprovided to submit all of your calculations and final answer.3N2

Given the line below754222345543222 234Write the equation of the line in pointslope form Identify the point 2 2 as x y Use the boxprovided to submit all of your class=

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Solution:

Given the graph;

First, the slope m, of the line is;

[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \\ x_1=-2,y_1=-2,x_2=2,y_2=2 \end{gathered}[/tex]

Thus;

[tex]\begin{gathered} m=\frac{2-(-2)}{2-(-2)} \\ \\ m=1 \\ \end{gathered}[/tex]

Thus, the point-slope is;

[tex]\begin{gathered} y-y_1=m(x-x_1) \\ \\ y-(-2)=1(x-(-2)) \\ \\ y+2=1(x+2) \end{gathered}[/tex]

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