Question

What is the equation of the line, in point-slope form, that passes through the points (9, 1) and (4, 16)?

Answer 1

Answer:

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:

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

$y-1=-3(x-9)$