Given: Points (-9, 6) and (-3, 9)
Find: The slope of the line that goes through those two points
Solution: In order to find the slope of the line that goes through the points that were provided we have to use the slope formula. This formula subtracts the y-coordinates from each other and also the x-coordinates from each other to determine the rise/run which would give us the rate of change.
<u>Plug in the values</u>
<u>Simplify the expression</u>
Therefore, looking at the given options we can see that the best fitting one would be option A, 1/2.
Take the logarithm of both sides. The base of the logarithm doesn't matter.


Drop the exponents:

Expand the right side:

Move the terms containing <em>x</em> to the left side and factor out <em>x</em> :


Solve for <em>x</em> by dividing boths ides by 5 log(4) - log(3) :

You can stop there, or continue simplifying the solution by using properties of logarithms:



You can condense the solution further using the change-of-base identity,

You can find the complementary angle for 28° first, which is 90°-28°=62°. Since this is a right triangle, you can then use trigonometry to find x (the hypotenuse). You have the angle and the adjacent side, so plug and play:
cos 62° = 350 / x
x = 350 / cos 62°
x = 745.5 ft
The point is not a solution to the equation of the line.
Hope this helps!
<span>-10 < x - 9
</span><span>-10+9 < x - 9+9
-1<x, or
x> - 1</span>