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

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

[math]\displaystyle{ y_2 = 4 }[/math]

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

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

[math]\displaystyle{ k = \frac {(-2) - 4}{5 - (-3)} = \frac {(-6)}{8} }[/math]

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

[math]\displaystyle{ y = kx + m }[/math]

[math]\displaystyle{ m = y - kx }[/math]

[math]\displaystyle{ 4 - (- \frac {3}{4}) \cdot (-3) }[/math]

[math]\displaystyle{ m = \frac {7}{4} }[/math]

[math]\displaystyle{ y = (- \frac {3}{4})x + \frac {7}{4} }[/math]