Answer:

Step-by-step explanation:
Use the slope-intercept form:

m is the slope and b is the y-intercept. Looking at the graph, you can find the y-intercept. The y-intercept is the point where x equals 0:


To find the slope, take any two points from the line:

Use the slope formula for when you have two points:

The rise over run is the change in the y-axis over the change of the x-axis. Insert the appropriate values:


Simplify parentheses (two negatives makes a positive):


Simplify (two negatives make a positive):

The slope is
and the y-intercept is
. Insert these into the equation:

Finito.
Answer:
Yes, it will
Step-by-step explanation:
Given
Length of Ladder = 12 ft
Angle = 64
Required
Determine if it'll reach a height of 10.5ft from the base
See attachment for proper illustration.
<em>From the attachment, we want to determine that x be greater than 10.5</em>
Using sin formula:

Multiply through by 12


(Approximated)
<em>Since 10.79 is greater than 10.5, then the ladder will reach the window</em>
sin64 = x/12
x = 12* sin64
1/4 - 1/2 = -1/4 but 1/2 - 1/4 = 1/4
Here we can use fact than we can multiply fraction by inverse of fraction instead of dividing it.
Inverse of 1/3 is 3/1
Lets multiply it

- its our result