Which is the equation of the line that passes through the point (2 -2) and has a slope of 3

y = 3x - 8

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Define variables

Random pt (2, -2)

Slope m = 3

Step 2: Substitute known variables

y = 3x + b

Step 3: Find b

-2 = 3(2) + b

-2 = 6 + b

-8 = b

Step 4: Rewrite linear equation

y = 3x - 8

y = 3x - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3, thus

y = 3x + c ← is the partial equation

To find c substitute (2, - 2) into the partial equation

- 2 = 6 + c ⇒ c = - 2 - 6 = - 8

y = 3x - 8 ← equation of line

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