Answer: Third option.
Step-by-step explanation:
By definition, the slope of a line can be calculated with the following formula:

Since you need to solve for
to find an equivalent expression, you can apply these steps:
1. You must multiply both sides of the equation by
:

2. Finally, you must add
to both sides of the equation:

Answer:
A
Step-by-step explanation:
y=4x+6
y=6-4x
y=12
y=4x+6
12=4x+6
12-6=4x
6/4=4x/4
x=3/2
Answer: B. 15.7 inches
Step-by-step explanation:
The ramp forms a right angle triangle. The height of the ramp above the ground represents the opposite side of the triangle. The length of the ramp represents the hypotenuse of the right angle triangle. The base of the ramp represents the the adjacent side of the right angle triangle. Therefore, to find r, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
r² = 7² + 14² = 49 + 196
r² = 245
r = √245
r = 15.7 inches to the nearest tenth