OK so where is the weekly math homework!?
Step 1
<u>First situation</u>
when a ladder is leaning against a wall
Let
x-------> the distance of the bottom of the ladder from the wall
L-------> the length of the ladder
<u>Find the length of the ladder</u>
Applying the Pythagorean Theorem
------> equation 
Step 2
<u>Second situation</u>
when the ladder will be lying flat on the ground
<u>Find the length of the ladder</u>
In this situation the length of the ladder is equal to

square both sides
------> equation 
Step 3
equate equation
and equation 

therefore
<u>the answer is</u>
the length of the ladder is 
see the attached figure to better understand the problem
Notice that for this question, they are providing you with:
1) The slope of the line (4)
2) a point on the plane through which the line goes (6, -2)
So you can directly use for this the "point-slope" form of a line which is as follows:

This includes m as the slope, and the pair (x0, y0) as the pair representing the point the line goes through.
So, let's use the info they gave you to complete this:

which we can work out a little more:

And even a little more to finish the equation of the line in its standard slope-intercept form:

So the equation of the line is:
Answer:
Choice a: 
Step-by-step explanation:
All you have to do on this one is add the 7 on both sides.

So the answer is anything greater than 5.