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Answered

What is an equation in point-slope form for the line that passes through the points (4,-1) and (-3, 4)?
y – 4 = -5/7(x + 3)
y+ 4 = -5/7(x + 3)
y+4 = 5/7(x + 3)
y – 3 = -5/7(x + 4)

Answer :

Answer: the 1st one is the correct answer.

Step-by-step explanation:

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Answer:

I will choose the first option

Step-by-step explanation:

[tex]gradient(m) = \frac{y2 - y1}{x2 - x1} \\ \\ taking \: x1 = - 3 \\ x2 = 4 \\ y1 = 4 \\ y2 = - 1 \\ \\ m = \frac{ - 1 - 4}{4 - - 3} \\ m = \frac{ - 5}{7} \\ \\ y - y1 = m(x - x1) \\ y - 4 = \frac{ - 5}{7} (x - -3) \\ \\ y - 4 = \frac{ - 5}{7} (x + 3)[/tex]

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