The solution is in the attached file
Answer:
y = - 2x + 11
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 )
Rearrange y + 2x = m into this form by subtracting 2x from both sides
y = - 2x + m ← in slope- intercept form
with slope m = - 2
Parallel lines have equal slope, thus
y = - 2x + c ← is the partial equation
To find c substitute (4, 3) into the partial equation
3 = - 8 + c ⇒ c = 3 + 8 = 11
y = - 2x + 11 ← equation of line
The length of vacation or time when each resort cost about the same is 32 days.
<h3>How to calculate the time?</h3>
From the information given, it was stated that Blue Water Resorts offers a vacation package starting at $1350 for a 4 night stay and each additional night adds $149 to the package price. Sea Breeze Resort offers a similar package, starting at $900 for a 4 night stay.
The equation to compute the time will be:
1350 + 149x = 900 + 135x
Compute like terms
149x - 135x = 1350 - 900
14x = 450
x = 450/14
x = 32
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Step-by-step explanation:Explanation - Given that Rex's weight changed from 8
Answer: 6 fewer than a number
