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Vsevolod [243]
3 years ago
6

Write an equation in slope intercept form for the line that passes through (2,-2) and is parallel to y=-5/2x+5

Mathematics
1 answer:
DENIUS [597]3 years ago
8 0

y=mx+b\\y=x-2

<em>Only y= x - 2 intercepts x-axis at 2 and y-axis at -2. Thus meaning that they intercept oppositely.</em>

<em>Find if both graphs are parallel, that means the equation must be false.</em>

<em />x-2=-\frac{5}{2}x+5<em />

<em>Multiply whole equation by 2 to get rid of the fractional 2.</em>

<em />2x-(2)(2)=-\frac{5}{2}(2)(x)+5(2)\\ 2x-4=-5x+10\\2x-4+5x-10=0\\7x-14=0\\7x=14\\x=2<em />

<em>Well, that doesn't seem to be parallel. This is called one solution answer. Both graphs intercept at (2,0). There are no linear graphs that intercept at (2,-2) except for y = x-2 so there are no graphs with (2,-2) that are parallel to the equation y = -5x/2+5 </em>

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With the same rationale, if she grabs 2 pairs of jeans, the cost of the jeans is:

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So, her total is:

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If you subtract 3 from the total, then the expression is:

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For the second part:

If she's paying 3 less for each shirt, then the cost of 3 shirts will become:

(12-3)+(12-3)+(12-3)=3(12-3)

In the same fashion, for the two jeans:

(19-3)+(19-3)=2(19-3)

So the expression for the total cost is:

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The amounts are different because the cost of the total purchase is different than the cost of each element that makes up the total purchase.

For number four:

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