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[math]\displaystyle{ x_1 = -3 }[/math]

[math]\displaystyle{ x_2 = 5 }[/math]

[math]\displaystyle{ y_1 = 4 }[/math]

[math]\displaystyle{ y_2 = -2 }[/math]

[math]\displaystyle{ k = \frac {y_2 - y_1} {x_2 - x_1} }[/math]

[math]\displaystyle{ k = \frac {-2 - 4} {5 - -3} }[/math]

[math]\displaystyle{ k = \frac {-6} {8} }[/math]

[math]\displaystyle{ k = 0,75 }[/math]

[math]\displaystyle{ 4 = -0,75 * - 3 + m }[/math]

[math]\displaystyle{ 4 = 0,75 * 3 + m }[/math]

[math]\displaystyle{ 4 = 2,25 + m }[/math]

[math]\displaystyle{ m = 4 - 2,25 }[/math]

[math]\displaystyle{ m = 1,75 }[/math]

[math]\displaystyle{ y = -0,75 + 1,75 }[/math]