Answer:
y = - 2x + 13
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 )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (3, 7) and (x₂, y₂ ) = (5, 3)
m = =
= - 2, thus
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (3, 7), then
7 = - 6 + c ⇒ c = 7 + 6 = 13
y = - 2x + 13 ← equation of line
Answer:
Step-by-step explanation:
300 degrees is in the fourth quadrant (it's between 270 and 360); sine is negative in the fourth quadrant.
Given we're in the fourth quadrant, the reference angle is 360 - 300 = 60 degrees
sin(60°) =
And since sine is negative, this value turns negative:
sin(300°) =
Answer:
Step-by-step explanation:
There is a formula for the area of a sector given the radius and the angle measure.
n = angle measure
r = radius