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3 years ago

8

Write the equation of the line, in standard form, that passes through the origin and is parallel to x + y = 6. Include your work

in your final answer.
I understand the answer is x + y = 0
I want to understand how that is determined. Using point slope form and all that.,

1 answer:

asambeis [7]3 years ago

8 0

Ax+by=c
a=1
b=1
slope= -a/b=-1
y=mx+b
y=-x+b
b=0
x+y=0

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Suppose lines EF and GH are reflected over the line Y equals X to form the lines JK and LM which statement would be true about t

katrin [286]

Answer:

A) JK and LM will be parallel to each other.

Step-by-step explanation:

On reflection on $y=x$ line the x co-ordinate changes with y co-ordinate and y co-ordinate changes with x co-ordinate

$(x,y)\rightarrow (y,x)$

Points on line EF

$(0,6) , (-5,-2)$

On reflection of this line on $y=x$ the new points we get for line JK are

$(6,0),(-2,-5)$

Points on line GH

$(-4,9),(-9,1)$

On reflection on y=x line the new points we get for line LM are

$(9,-4),(1,-9)$

Slope of line JK

$m=\frac{y_2-y_1}{x2-x1}\\m=\frac{(-5)-0}{(-2)-6} \\m=\frac{-5}{-8}=\frac{5}{8}$

Slope of line LM

$m=\frac{y_2-y_1}{x2-x1}\\m=\frac{(-9)-(-4)}{1-9} \\m=\frac{-9+4}{-8}=\frac{-5}{-8}\\m=\frac{5}{8}$

For two line to be parallel, their slopes will be same.

$m_{JK} =\frac{5}{8} , m_{LM}=\frac{5}{8}$

Since slopes of lines JK and LM are same therefore we can say that these are parallel to each other.

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A recipe for one batch of cookies uses 5 cups of flour and 2 teaspoons of vanilla. If you use 6 teaspoons of vanilla, how many c

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Answer:

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Step-by-step explanation:

if the vanilla is going from 2 - 6 then it is being multipled by 3. Therfore you should multiply the flour (5) by 3, which makes the total flour to be 15 cups.

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Step-by-step explanation:

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