Answer: y-4=-3(x+4) or y=-3x-8
Step-by-step explanation:
To find the equation of the line with a given point and slope, we can fill them into the point-slope formula. The point-slope formula is y-y₁=m(x-x₁).
y-4=-3(x-(-4)) [multiply]
y-4=-3(x+4)
Another equation could be slope-intercept form. It is y=mx+b.
y-4=-3(x+4) [distribute]
y-4=-3x-12 [add both sides by 4]
y=-3x-8
Now, we know that the equation is y=-3x-8 or y-4=-3(x+4).
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Car #1: 300/43.2 = 6.9444 gallons
(Rounded) Car #2: 300/35.9 = 8.3565 gallons
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(Rounded) Car #1: 6.9444*3.19 = $22.16 to re-fill their tank
(Rounded) Car #2: 8.3565*3.19 = $26.66 to re-fill their tank
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(Rounded) Difference: $26.66 - 22.15 = $4.50
To re-fill Car 2's tank is approximately $4.50 more to re-fill Car 1's tank...
