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3 years ago

Which equation represents the line that passes through the points (–3, 7) and (9, –1)?

Mathematics

2 answers:

galben [10]3 years ago

7 0

Answer:

Step-by-step explanation:

first, we find the slope

slope = (y2 - y1) / (x2 - x1)

(-3,7)....x1 = -3 and y1 = 7

(9,-1)...x2 = 9 and y2 = -1

now we sub

slope(m) = (-1 - 7) / (9 - (-3) = -8 / (9 + 3) = -8 / 12 reduces to - 2/3

y = mx + b

slope(m) = -2/3

use either of ur points...I will use (-3,7)...x = -3 and y = 7

now we sub and find b, the y intercept

7 = -2/3(-3) + b

7 = 2 + b

7 - 2 = b

5 = b

so ur equation is : y = -2/3x + 5 <===

shtirl [24]3 years ago

6 0

Answer:

y = -2/3x + 5

Step-by-step explanation:

just took the test

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Use the following image to assist in your answer.<br> a =<br> - 6<br> - 9<br> - 4

vfiekz [6]

Step-by-step explanation:

Pythagoras' theorem for the smallest one :

$c^2 = 4^2 + 6^2$

$c^2 = 16 + 36$

$c^{2}$ = 52

Pythagoras' theorem for the middle one :

$b^{2}$ = $6^{2}$ + $a^{2}$

Pythagoras' theorem for the biggest one :

$(4+a)^2 = c^2 + b^2$

$16 + 8a + a^2 = 52 + b^2$

Using the formula before (for $b^2$ ) it becomes :

$16 + 8a + a^2 = 52 + (6^2 + a^2)$

$16 + 8a + a^2 = 52 + 6^2 + a^2$

$16 + 8a = 52 + 6^2$

16 + 8a = 52 + 36

16+8a = 88

8a = 88-16

8a = 72

$a = \frac{72}{8}$

a = 9

Verifying :

$b^2 = 6^2 + a^2$

$b^2 = 36 + 81$

$b^2 = 117$

$b^{2}$ = 117

The biggest one :

$(4+a)^2 = c^2 + b^2$

$(4+9)^2 = 52 + 117$

$13^2 = 169$

True

8 0

3 years ago

Suppose you by a 1.25 pound package of ham at $5.20 per pound

marishachu [46]

I suppose I can do that and end up spending 6.50$?

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3 years ago

Which statement describes the translation from the graph of y = |x| to the graph of y = | x - 1 | -5

Doss [256]

Answer:

Step-by-step explanation:

Shift 1 unit right and 5 units down

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3 years ago

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gogolik [260]

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4 years ago

Surface area of 8in,4in,14in

andriy [413]

Answer:

160 in^2.

Step-by-step explanation:

I guess this is a prism with 6 faces so the surface area is:

2 * 8 * 4 + 2 * 8*4 + 2*4*4

= 64 + 64 + 32

= 160 in^2.

7 0

3 years ago