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Nady [450]
2 years ago
7

What is the slope of the line that contains the points in the table?

Mathematics
2 answers:
Debora [2.8K]2 years ago
4 0

Answer:

D

Step-by-step explanation:

The boxes with whole numbers in them written as coordinates:

(-4, -11)

(8, -8)

we know gradient is rise over run, or (y2 - y1) / (x2 - x1)

gradient = (-8 - -11) / (8 - -4)

gradient = 3 / 12

gradient = ¼

Elis [28]2 years ago
3 0

Answer:

B

Step-by-step explanation:

always remember that the slope is the ratio "y coordinate change / x coordinate change".

in the table we see that when x increases by 3, y increases by 3/4 (= 0.75).

this impression is confirmed by the last step, as x increases by 6, and y by 1.5 = 6/4.

so, the slope is

3/4 / 3 = 1/4

or

6/4 / 6 = 1/4

so, it is 1/4.

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(2x + 3y = 12) x (-2)
(4x - 3y = 6) x 1

-4x - 6y = -24
4x - 3y = 6

You can cancel out the x values by adding the two equations together. 
(-4x + 4x) + (-6y - 3y) = (-24 + 6)
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Solve for x now...
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Check... (x = 3, y = 2)
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12 = 12 <- this works! 

4(3) - 3(2) = 6
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--<br> Choose the correct simplification of the expression -5x2(4x – 6x2 – 3).
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\huge \bf༆ Answer ༄

Let's simply ~

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: - 5 {x}^{2} (4x - 6 {x}^{2}  - 3)

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:( - 5x {}^{2}  \times 4x) - ( - 5 {x}^{2}  \times 6 {x}^{2} ) - ( - 5 {x}^{2}  \times  3)

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: - 20 {x}^{3}    - ( - 30 {x}^{4} ) - ( - 15 {x}^{2} )

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: - 20 {x}^{3}  + 30 {x}^{4}  + 15 {x}^{2}

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:30 {x}^{4}  - 20 {x}^{3}  + 15 {x}^{2}

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