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2 years ago

(a) Complete the table of values for y- 2x + 5 - 0 1 2 1 5 Y

Mathematics

1 answer:

maxonik [38]2 years ago

5 0

Answer:

Step-by-step explanation:

I think you meant y = -2x + 5.

x y = -2x + 5

0 5

1 -2(1) + 5 = 3

2 -2(2) + 5 = 1

Note that every time you increase x by 1, y decreases by 2.

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sineoko [7]

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4 units

Step-by-step explanation:

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Required

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We need to calculate the equation of EF

But first, we calculate the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where

$(x_1,y_1) = (1,-2)$

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The distance is calculated using:

$d = \frac{|Ax_1 + By_1 + c|}{\sqrt{A^2 + B^2}}$

In $G = (4,2)$ , we have:

$(x_1,y_1) = (4,2)$

A general equation has $Ax + By + c = 0$ as its format

By comparison

$A = 0$

$B = 1$

$c = 2$

$d = \frac{|Ax_1 + By_1 + c|}{\sqrt{A^2 + B^2}}$ becomes

$d = \frac{|0 * 4 + 1 * 2 + 2|}{\sqrt{0^2 + 1^2}}$

$d = \frac{|0 + 2 + 2|}{\sqrt{0 + 1}}$

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$d = \frac{4}{1}$

$d = 4$

<em>Hence, the distance is 4 units</em>

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