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larisa86 [58]
3 years ago
7

identify an equation in point slope form for the line perpendicular to the y=-1/2x+11 that passes through (4,-8). a. y+8=1/2(x-4

) b. y-4=2(x+8) c. y-8=1/2(x+4) d. y+8=2(x-4)
Mathematics
1 answer:
Solnce55 [7]3 years ago
3 0

Answer:

d. y+8=2(x-4)

Step-by-step explanation:

There are 2 important parts to this question. First, understanding which slopes are perpendicular. The negative reciprocal of a number will be perpendicular to it. So, since the original slope is -1/2 the new slope should be 2.

Then, remember what the point-slope formula is. The point-slope formula is: y-y_{2}=m(x-x_{2}). So if you plug in the point and slope the new equation looks like, y--8=2(x-4). Then, simplify for the final answer of y+8=2(x-4).

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Answer:

Age 1-NO

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Age 11-maybe probably not

Age 12-maybe probably not

Age 13-maybe probably not

Age 14-kinda

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8 0
3 years ago
What is the equation of the line that passes through the point (-5,1) and has a slope of -1/5?
olchik [2.2K]

Answer:

x + 5y = 0

Step-by-step explanation:

y = mx + b

y = -1/5 x + b

1 = -1/5 (-5) + b

1 = 1 + b

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y = -1/5 x

5y = -x

x + 5y = 0

4 0
3 years ago
Lindsay has scored 15 goals in 10 lacrosse games this season. a) What is her unit rate of scoring? b) How many goals might Linds
pashok25 [27]
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3 years ago
Simplify -1-18<br> -<br> (18)<br> O - |18|<br> 0-18<br> O 18
sertanlavr [38]

Answer:

simplify -1-18

Step-by-step explanation:

Subtract  18  from −1

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6 0
2 years ago
Determine if (-2,6) and (4,12) are solutions to the system of equations:
kykrilka [37]

Answer:

Both (-2,6) and (4,12) are solutions to the system.

Step-by-step explanation:

In order to determine whether the two given points represent solutions to our system of equations, we must "plug" thos points into both equations and check that the equality remains valid.

Step 1: Plug (-2,6) into y=x+8

(6) = (-2)+8 = 6

The solution verifies the equation.

Step 2: Plug (-2,6) into 2y=x^2 + 8

2(6) = (-2)^2+8=4+8=12

The solution verifies both equations. Therefore, (-2,6) is a solution to this system.

Now we must check if the second point is also valid.

Step 3: Plug (4,12) into y=x+8

(12) = (4)+8 = 12

Step 4: Plug (4,12) into 2y=x^2 + 8

2(12) = (4)^2+8=16+8=24

The solution verifies both equations. Therefore, (4,12) is another solution to this system.

3 0
3 years ago
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