Answer:
y = 3x-2
Step-by-step explanation:
We can find the slope using the formula
m = (y2-y1)/(x2-x1)
= (16-4)/(6-2)
=12/4
=3
We then use the point slope form of a line
y-y1= m(x-x1)
y-4 = 3(x-2)
Distribute the 3
y-4= 3x-6
Add 4 to each side
y-4+4 = 3x-6+4
y = 3x-2
This is in slope intercept form
Xy2 and 2xy are the only ones with common factors
Answer:

Step-by-step explanation:
Please refer to the attached diagram. (Apologies if the shading or resolution is a bit off.)
So, we want to find θ.
Since we formed a right triangle, we can use right triangle ratios.
We know the measure of the adjacent side to θ and the hypotenuse.
Therefore, we will use the cosine ratio:

The adjacent side is 2 and the hypotenuse is 15. By substitution:

Now, we will take the inverse cosine of both sides. So:

Use a calculator. Hence:

The angle between the ground and the ladder is about 82.34°.