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svp [43]
3 years ago
11

Find the equation of the line that passes thru (-1,-5) and is parallel to 3x+y=-5. Show work.

Mathematics
1 answer:
sertanlavr [38]3 years ago
3 0

Answer:

y=-3x-8

Step-by-step explanation:

slope-intercept form:

y=mx+b

Start with the given equation, and to find the slope, convert it to slope-intercept form by solving for y.

3x+y=-5

In this case, all you need to do is subtract 3x from both sides.

y=-3x-5

Here, the slope is -3. The slope of a parallel line will also be -3.

Now, we have 3 known variables. We have the slope and the x and y of a known point. Use those 3 knowns to solve for the 1 unknown, the y-intercept.

y=mx+b\\-5=(-3)(-1)+b\\-5=3+b\\-8=b\\b=-8

Finally, with the slope and the y-intercept, you can write the equation of the line:

y=-3x-8

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3 years ago
Automobile racing, high-performance driving schools, and driver education programs run by automobile clubs continue to grow in p
yuradex [85]

Answer:

Step-by-step explanation:

Hello!

Given the variables

X₁: Weight of a safety helmet for racers

X₂: Price of a safety helmet for racers

Note, there is n= 17 observed values for each variable so for all calculations I'll use this number and disregard the 18 mentioned in the text.

a) Scatterplot in attachment.

b) If you look at the diagram it seems that there is a negative linear regression between the price and the weight of the helmets, meaning, the higher the helmet weights, the less it costs.

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Y[bar]= 380.35; X[bar]= 59.29

b= \frac{sumXY-\frac{(sumX)(sumY)}{n} }{sumX^2-\frac{(sumX)^2}{n} } = \frac{367536-\frac{1008*6466}{17} }{60294-\frac{(1008)^2}{17} } = -30.18

a= Y[bar]- bX[bar]= 380.35-(-30.18)*59.29= 2169.77

The estimated regression equation for the price of the helmets as a function of their weight is:

^Yi= 2169.77 -30.18Xi

I hope it helps!

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I really really really really really really really really need help
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The answer would be 3.8.

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5 ÷ 1.3 = 3.8.

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3 years ago
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