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Write the point-slope form of an equation of the line that passes through (4, -3) and (2, 1).

Respuesta :

devishri1977

Answer:

y + 3 = -2(x - 4)

Step-by-step explanation:

(x₁,y₁) = (4 , -3)

(x₂,y₂) = (2 , 1)

[tex]Slope =\frac{y_{2}_y_{1}}{x_{2}-x_{1}}\\\\=\frac{1-[-3]}{2-4}\\\\=\frac{1+3}{-2}\\\\=\frac{4}{-2}\\\\= -2\\[/tex]

Point slope form: y - y1 = m(x -x1)

y - [-3] = -2(x - 4)

y + 3 = -2(x - 4)

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