Answer:
y = - 3x + 7
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 ) = (2, 1) and (x₂, y₂ ) = (5, - 8)
m = =
= - 3 , thus
y = - 3x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 1) , then
1 = - 6 + c ⇒ c = 1 + 6 = 7
y = - 3x + 7 ← equation of line
Answer: The measure of the other acute angle is 52.8°
Step-by-step explanation:
Hi, since the situation described forms a right triangle ( see attachment) , we know that the three interior angles of a right triangle add up to 180 degrees.
The value of one angle is given = 37.2°.
Since is a right angle it has also a right angle of 90°.
So we can write an equation:
x + 37.2 + 90 = 180
Where x is the measure of the other acute angle.
Solving for x:
x = 180-90-37.2
x = 52.8°
