Find the equation of a line that is parallel to the line y = -4× and contains the point (8,-3)

1 answer:

3 0

(Note: this is hard to explain without graphing. You might want to graph both of these lines just to make sure I did this correctly. :))

Y = -4(x) is the y = mx + b where m = slope and b = the y intercept.

So the slope of line A is -4 / 1 and the y intercept is 0. (If it's 0 there is no point in writing it down, so it was left out of the equation.)

The slope of line B with be equal to the slope of line A, so we can fill that in our equation. y = -4 x + ??

We know that y increases as x decreases.

Now we just need to scale 8, -3 down until x = 0.
(8 - 4, -3 + 1) = (4, -2)

(4 - 4, -2 + 1) = (0, -1)

y = -4x -1 is your final answer. Hope that helps! :)

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In the figure lines 1, m, and n are parallel. A classmate says you can use the corollary to side-splitter theorem to find x. Exp

defon

Answer: You should not make that assumption in this problem.

The side-splitter theorem is about the line segments that are formed on the transverals themselves. It is not talking about the distances on the set of parallel lines. If you wanted to find the value of x, you should look for another way to prove the relationship involving the x-value.

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When Ricardo was 9 years old, he was 56 inches tall. Ricardo is now 12 years old and he is 62 inches tall. Find the percent of i

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Explanation:
The formula for calculating the percent change in a value between two points in time is:
p
=
N
−
O
O
⋅
100
Where:
p
is the percent change - what we are solving for in this problem.
N
is the New Value - 62 inches in this problem.
O
is the Old Value - 56 inches in this problem.
Substituting and solving for
p
gives:
p
=
62
−
56
56
⋅
100
p
=
6
56
⋅
100
p
=
600
56
p
=
10.7
rounded to the nearest tenth.
Ricardo gres 10.7%

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A retailer marks up their furniture 33% over wholesale prices. If a dresser costs $975 wholesale, what does the retailer charge?

melamori03 [73]

Answer:

$1296.75

Step-by-step explanation:

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Systems of equations with different slopes and different y-intercepts have more than one solution.

FrozenT [24]

Answer: OPTION C.

Step-by-step explanation:

The systems of linear equations can have:

1. No solution: When the lines have the same slope but different y-intercept. This means that the lines are parallel and never intersect, therefore, the system of equations has no solution.

2. One solution: When the lines have different slopes and intersect at one point in the plane. The point of intersection will be the solution of the system

3. Infinitely many solutions: When the lines have the same slope and the y-intercepts are equal. This means that the equations represents the same line and there are infinite number of solution.

Therefore, based on the explained above, the conclusion is: Systems of equations with different slopes and different y-intercepts never have more than one solution.

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