Using the one point format, for a slope m, and point (x₁, y₁)
y - y₁ = m(x - x₁)
Slope, m = (4/5) point (x₁, y₁) = (0, 1), x₁ = 0, y₁ = 1
y - 1 = (4/5)*(x - 0)
y - 1 = (4/5)x
y - 1 = 4x / 5
5*(y - 1) = 4x
5*y - 5*1 = 4x
5y - 5 = 4x
5y = 4x + 5 is the equation of the line.
Answer:

Step-by-step explanation:
We are asked to find the measure of angle a.
This triangle is a right triangle because of the small triangle in the corner representing a 90 degree or right angle. Therefore, we can use trigonometric functions. The three main functions are:
- sinθ=opposite/hypotenuse
- cosθ= adjacent/hypotenuse
- tanθ= opposite/adjacent
The side measuring 6 is adjacent or next to angle a. The side measuring 9 is opposite angle a. Therefore, we will use the tangent function.


Since we are solving for an angle measure, we use the inverse trigonometric function.



Round to the nearest tenth. The 0 in the hundredth place tells us to leave the 3 in the tenth place.

The measure of angle a is approximately 56.3 degrees.