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Butoxors [25]
3 years ago
10

Find the equation of the line. Use exact numbers.

Mathematics
2 answers:
horrorfan [7]3 years ago
7 0

Answer:

y = 2/3x + 4

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

The line is clearly linear, so the above applies

The points with x = 0 and x = 1 vary in y by 2/3, making the slope = 2/3. The y intercept in the graph is 4, making b = 4

Grace [21]3 years ago
4 0
The equation would be y=2/3x+4

So to finish the equation, you would need the slope and the y-intercept. The y-intercept is where the line hits the y-axis. So it hits the y-axis at (0,4), making the y-intercept 4.

Next find the slope. Do this by picking two points and plugging it into the equation

y2-y1/x2-x1

(0,4) (3,6)

6-4/3-0

2/3

So it would be y=2/3x+4
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Answer:

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Step-by-step explanation:

Given:

a_{1} = 2

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To get the first 5 terms of the sequence, substitute in turn, n = 1, 2, 3, 4, 5 into equation (i).

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The second term (when n = 2) is given as:

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The third term (when n = 3) is given as:

a_{3} = 2a_{3-1}

a_{3} = 2a_{2}    (but a_{2} = 4 )

=> a_{3} = 2(4)

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The fourth term (when n = 4) is given as:

a_{4} = 2a_{4-1}

a_{4} = 2a_{3}   (but a_{3} = 8 )

=> a_{4} = 2(8)

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The fifth term (when n = 5) is given as:

a_{5} = 2a_{5-1}

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=> a_{5} = 2(16)

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Therefore, the first 5 terms of the sequence are 2, 4, 8, 16 and 32.

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