Find an equation for the line that passes through the point (-3, 6), parallel to the line through the points (0,-7) and (4,-15). Write your answer in point-slope form.

Answers

Answer 1

Answer: 1st we will have to find the equation of the points (0,-7)(4,-15)
find the slope 1st
slope = y2-y1/x2-x1
slope = -8/4
slope = -2
and we know that the y intercept is -7
thus
the equation would be
y = -2x - 7

now we need to find the equation of the line that passes throgh (-3,6) and parallel to the previous equation
since it is parallel to the previous equation then they have the same slopes
thus the slope is -2
now we need to use
y - y1 = m(x - x1) to determine the equation
subsitute the values of x1 and y1
and m is the slope
y - 6 = -2(x +3)
y - 6 = -2x -6
y = -2x
that's the equation!

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A digital camera for $249.99 at 4% sales tax

Answers

First, change the 4% into a decimal. Once thats changed, it will be 1.04
Multiply 1.04 by the amount of the cost, to get your answer.
But, to make this easier, and to not go through more work, lets round your money amount to $250
Now, all you have to do is multiply.
$250 · 1.04 ≈ $260
So, your answer for $250 with 4% (1.04) percent sales tax would be a grand total of:
$260
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-Hope this helped :)

i'll round the 249.99 to 250 for simplicity
250*1.04=260 or 259.9975 if you want to be technical

Neil had some olive oil. He used 1/5 liter to make a salad dressing. There was 1/2 liter of olive oil remaining in the bottle. What amount of olive oil did Neil have in the bottle before using some for the salad dressing and the steps to calculate it?

Answers

First you have to put the fractions in the same denominator. 1/5 and 1/2, times the denominators together and get 10. To get 5 to 10 you have to times by 2 so you do the same to the top (2/10) and to get 2 to 10 you times by 5 (5/10). So to start he had 7/10 of olive oil.

1/5 + 1/2. Make sure the under number are same. Become 2/10 + 5/10 = 7/10

PLS HELP!! determine which ordered pair is NOT a solution of y=-4x-2.