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zysi [14]
3 years ago
6

Find the equation (in terms of x) of the line through the points (-2,3) and (4,-9) y =

Mathematics
2 answers:
ss7ja [257]3 years ago
6 0

Answer:  y = -2x - 1

Step-by-step explanation:

We can calculate the slope from the two given points.  Slope is the change in y per the change in x, sometimes called the rise (y) over the run (x)

Rise is (-9 -3) = -12

Run is (4 - (-2)) = 6

Slope = Rise/Run = -12/6 = -2

The line is y = -2x + b

Find b by using either of the two known points (solutions).  I'll choose (-2,3) [because I like smaller numbers]

y = -2x + b

3 = -2*(-2) + b

b = -1  [That was only slightly easier than -9 = -2*(4) + b; b = -1]

The equation is y = -2x - 1

shepuryov [24]3 years ago
3 0

Answer:

y =5

Step-by-step explanation:

m=

−9−7

5−5

=

−16

0

=0

y=mx+b

5=(0)(7)+b

b=5

therefore y = 5

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lidiya [134]
As it has a maximum value the coefficient of x^2 will be negative

The vertex will be at (-8,2)  so in vertex form it is

y = a(x + 8)^2 + 2
and as it passes through (-7,-1) we have:

-1  = a(-7+8)^2 + 2

-1 = a + 2  so a = -3

answer is  y = -3(x + 8)^2 + 2

in standard form this is y = -3x^2 -48x  - 190
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3 years ago
Estimate how many 12-inch rulers will be about the same length as a sheet of paper.
Pani-rosa [81]
One or maybe a little less
6 0
3 years ago
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a house was purchased for $150,000 the value decreased by 16% how much is the value of the house now​
TiliK225 [7]

Answer:

$126,000

Step-by-step explanation:

16% of 150,000 is 24,000

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8 0
3 years ago
Describe the error in the work shown.
mihalych1998 [28]

The error was in second step.

3√(y^3)^4 = y^4

(Cube root cancels cube and not power 4)

The answer should be:

xy^4/4

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4 0
3 years ago
The measure of one a cite angle of a right triangle is 6 less than twice the measure of the other acute angle find the measure o
jeka57 [31]

Answer:

32°, 58°

Step-by-step explanation:

Let one acute angle measure x.

The other acute angle measures 2x - 6.

The sum of the measures of the acute angles of a right triangle is 90.

x + 2x - 6 = 90

3x - 6 = 90

3x = 96

x = 32

2x - 6 = 2(32) - 6 = 58

Answer: 32°, 58°

8 0
1 year ago
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