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Lesechka [4]
3 years ago
14

The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = (x – 8). What is the slop

e-intercept form of the equation for this line?
Mathematics
1 answer:
Masteriza [31]3 years ago
5 0

[ y - 4 = x - 8 ]  is not the equation of the line that goes through
those two points.  The first point  (8, 4)  is on the graph of that
equation, but the second point  (0, 2)  is not.

The slope/intercept equation of the line that passes through
both points  (8, 4)  and  (0, 2)  is

                                          y = 1/4 x + 2 .


The slope/intercept form of   [ y - 4 = x - 8 ]  is

                                          y = x - 4 .  

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Remark

The easiest way to graph this is to get a program to do it for you. Desmos is ideal.

Problem 7a

The graph is down  below the rest of the answer. 5x + 2y = 150

<u>x and y intercepts.</u>

The x intercept is marked as 30. That was derived by letting y = 0 to get

5x = 150   divide by 5

x = 150 / 5

x =  30

So if you buy NO wristbands, you can get 30 keychains

The y intercept occurs when x = 0

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y = 150 / 2

y = 75 That means if you buy NO keychains, you can buy 75 wrist bands.

Problem 7b

For this problem x = 18

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8 0
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