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)

Step-by-step explanation:

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

m - slope

(x₁, y₁) - point

The formula of a slope:

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

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet