Answer:
y = - 
x - 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 6, - 3) and (x₂, y₂ ) = (6, - 7)
m = 
= 
= -
Note the line crosses the y- axis at (0, - 5) ⇒ c = - 5
y = - x - 5 ← equation of line
<span>(x + 5 1/2) 0.75= 5/8<span>
Convert 0.75 into a fraction
</span></span><span>(x + 5 1/2) 3/4= 5/8
Use distributive property
3/4x + 5 1/2*3/4 = 5/8
Convert 5 1/2 into improper fraction
3/4x + 11/2*3/4 = 5/8
Multiply
3/4x + 33/8 = 5/8
Subtract 33/8 from both sides
3/4x = 5/8 - 33/8
Subtract the numerators but NOT the denominators
3/4x = -28/8
Divide 3/4 on both sides
x = -28/8 divided by 3/4
Convert the division sign to multiplication while flipping the fraction 3/4 to 4/3
x = -28/8 * 4/3
Multiply
Final Answer: x = -112/24 or -4 16/24 or -4 4/6 or -4 2/3 *All answers are equivalent to each other.</span>
Answer:
The depth now is 47 feet below the surface of the lake
Step-by-step explanation:
Step 1: Determine initial depth
Initial depth=surface level-depth below surface
where;
Surface level=0, since its the point of reference
depth below surface=96 feet
replacing;
Initial depth=(0-96)=-96 feet
Step 2: Final depth
Final depth=Initial depth+distance covered
where;
Initial depth=-96 feet
distance covered=+49 feet since the scuba driver moves towards the surface
replacing;
distance covered=-96+49=-47 feet
The depth now is 47 feet below the surface of the lake
