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Which of the following point-slope form equations could be produced with the points (-1, 4) and (2, -3)?


y - 4 = - 3/7(x + 1)


y + 3 = -7/3(x - 2)


y + 3 = 7/3(x - 2)


y + 4 = - 3/7(x - 1)

Respuesta :

igoroleshko156

Answer:

Option B, y + 3 = -7/3(x - 2)

Step-by-step explanation:

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

Step 1:  Find the slope

m = [tex]\frac{y2 - y1}{x2 - x1}[/tex]

m = [tex]\frac{-3 - 4}{2 - (-1)}[/tex]

m = [tex]\frac{-7}{2 + 1}[/tex]

m = [tex]\frac{-7}{3}[/tex]

Step 2:  Plug into the point slope form

(y - 4) = -7/3(x - (-1))

(y - 4) = -7/3(x + 1)

OR

(y - (-3)) = -7/3(x - 2)

y + 3 = -7/3(x - 2)

Answer:  Option B, y + 3 = -7/3(x - 2)