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RSB [31]
3 years ago
5

10. Write the equation of the line in slope-intercept form that has the following points: (5,2) (0, -5)

Mathematics
1 answer:
Masteriza [31]3 years ago
4 0

Answer:

y = 7/5x - 5

Step-by-step explanation:

Step 1: Find slope

m = (-5 - 2)/(0 - 5)

m = 7/5

Step 2: Find y-int

(0, -5)

Step 3: Write out equation

y = 7/5x - 5

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The equation that matches the given table is

y = 10x + 40

Solution:

General equation of a line : y = mx + c

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<u>Common differences of X: </u>

0 – 1 = 1, 1 – 2 = 1, 3 – 2 = 1, 4 – 3 = 1, 5 – 4 = 1

<u>Common differences of Y: </u>

50 – 40 = 10, 60 – 50 = 10, 70 – 60 = 10, 80 – 70 = 10, 90 – 80 = 10

$m=\frac{\Delta y}{\Delta x}

$m=\frac{10}{1}

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Therefore the equation of a line is y = 10x + 40.

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