Find the equation of the line that has a slope of -½ and passes through the point (-6,9)

Mathematics

1 answer:

skelet666 [1.2K]3 years ago

6 0

Answer:

y = -1/2x +6

Step-by-step explanation:

We can use the slope intercept form of a line

y = mx+b where m is the slope and b is the y intercept

y = -1/2x +b

Substitute the point into the equation

9 = -1/2 (-6) +b

9 = 3+b

9-3 =b

6 =b

y = -1/2x +6

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Step-by-step explanation:

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3 years ago

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Find the vertex of this parabola: y=-4x^2+8x-12

tatiyna

The vertex of the parabola is the highest or lowest point of the graph.

y=-4x^2+8x-12 = -4 (x^2 -2x +3)

Lets work with this now: x^2 -2x +3

x^2 -2x +3 -> what is the closeset perfect square?
x^2 -2x +1 = (x-1)^2
So
x^2 -2x +3 = (x-1)^2 +2

Replacing to original
y=-4x^2+8x-12 = -4 (x^2 -2x +3) = -4 ((x-1)^2 +2) = -4 (x-1)^2 - 8

The min or max point is where the squared part = 0
So when x=1 , y= -4*0-8=-8

This will be the max of the parabola as there is - for the highest factor (-4x^2)

The max: x=1, y= -8

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Rick is buying a small sailboat for $3,000 with a down payment of $1,000. The bank approved a simple interest flat rate loan for

Anni [7]

Option C

Monthly loan payment is $ 93.33

Solution:

From given question,

Cost of sailboat = $ 3000

Down payment = $ 1000

Hence net principal is given as: