Mathematics: Evaluate | x+y, for x = 8 and y=-15. 7 23 -7 -23

Evaluate | x+y, for x = 8 and y=-15. 7 23 -7 -23 - id81572372314697813, lollipop83

queenkimm26

18.03.2023

Let's see what to do buddy...

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We have following equation for finding the slope of the lines using two points :

$slope = \frac{y(b) - y(a)}{x(b) - x(a)} \\$

Where a and b are the points which the line through them.

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A = ( 8 , 9 )

B = ( -2 , 4 )

Now just put the coordinates in the above equation :

$slope = \frac{4 - 9}{ - 2 - 8} = \frac{ - 5}{ - 10} = \frac{1}{2} \\$

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The answer is :

$slope = \frac{1}{2} \\$

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First we must choose one of the A or B points.

I choose : B = ( -2 , 4 )

We need using the following equation:

$y - y(b) = (slope) \times ( \: x - \: x(b) \: ) \\$

$y - 4 = \frac{1}{2}(x + 2) \\$

It's the point-slope form of the line..

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We just need to simplifies the above equation to find the slope-intercept form.

Look :

$y - 4 = \frac{1}{2}(x + 2) \\$

$y - 4 = \frac{1}{2}x + 1 \\$

Both sides plus 4

$y = \frac{1}{2}x + 1 + 4 \\$

$y = \frac{1}{2}x + 5 \\$

It's the slope-intercept form of the line.

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And we're done.

Thanks for watching buddy good luck.

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