6. Answer: y = 5x - 11
<u>Step-by-step explanation:</u>
Parallel means "same slope". y = 5x - 2 is in the form y = mx + b,
so the slope (m) = 5
Next, input the point (x₁, y₁ = 2, -1) and slope (m = 5) into the Point-Slope formula:
y - y₁ = m(x - x₁)
y - (-1) = 5(x - 2)
y + 1 = 5x - 10
y = 5x - 11
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7. Answer: 
<u>Step-by-step explanation:</u>
Perpendicular means "opposite reciprocal slope". y = -3x + 7 is in the form y = mx + b, so slope (m) = -3 ⇒ m⊥ = 
Next, input the point (x₁, y₁ = 3, 5) and slope (m = ) into the Point-Slope formula:
y - y₁ = m(x - x₁)
Answer:
4.63
Step-by-step explanation:
4/5 of an hour is 48 minutes
1 4/5 hour is 60 + 48
which is
108 minutes
he ran 8 1/3 miles in 108 minutes
so
(8 1/3 times 60 ) ÷ 108
which =
4.6296296296 miles in one hour
Answer:
≈419.4 cm.
Step-by-step explanation:
To solve this problem, you will need to set up an exponential graph as shown:
y= 40 ·
The 40 represents the initial height of the tree, while (1.6) represents the annual growth rate. 'x' represents the amount of years elapsed.
We can simply solve this by substituting 5 for x:
y= 40· 
y ≈ 419.4 cm.
Answer:
4.4721
Step-by-step explanation:
Answer:
The x coordinates and y coordinates will switch places with each other.
Step-by-step explanation:
A' coordinates will go from (x,y) to (y,x) so the coordinates will switch.
