Mathematics: What is the equation of the line, in point-slope form, that passes through the points (9, 1) and (4, 16)? a. y + 1 = -3(x + 9) b. y - 1 = -3(x - 9) c. y + 1 = 3(x + 26) d. y - 1 = 3(x - 26)

What is the equation of the line, in point-slope

ksspiegler

16.01.2022

B. y - 1 = -3(x - 9)

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

m - slope

(x₁, y₁) - point

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (9, 1) and (4, 16). Substitute:

$m=\dfrac{16-1}{4-9}=\dfrac{15}{-5}=-3$

y-1=-3(x-9)

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feliciagraham14

31.03.2023

4555454651516

Step-by-step explanation:

I think it will be the answer

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