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3 years ago

Are the lines perpendicular? y= x + 3 and x + y = 6

Mathematics

2 answers:

vampirchik [111]3 years ago

8 0

Answer:

Yes

Step-by-step explanation:

<u>Slopes of perpendicular lines are opposite reciprocals of each other</u>

to find if two lines are perpendicular:

(Slope1)*(Slope2) = -1

The slope of y=x+3 is 1 and the slope of x+y=6 is -1

(1)*(-1) = -1

-1 = -1

therefore, it is perpendicular

FromTheMoon [43]3 years ago

3 0

Yes it is bc it’s perpendicular

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SpyIntel [72]

If we have two coordinates that are in the line we can find the slope with this equation:

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

So now we replace the coordinates so:

$\begin{gathered} m=\frac{2-1}{4-(-2)} \\ m=\frac{1}{6} \end{gathered}$

Now with the slope and any point we can find the intercept in the y axis by replacing x=0 so:

$\begin{gathered} \frac{1}{6}=\frac{y-2}{0-4} \\ -\frac{4}{6}=y-2 \\ -\frac{2}{3}+\frac{6}{3}=y \\ \frac{4}{3}=y \end{gathered}$

So the equation is:

$y=\frac{1}{6}x+\frac{4}{3}$

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1 year ago

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Answer:

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Step-by-step explanation:

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3 years ago

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Alecsey [184]

Answer:

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Step-by-step explanation:

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3 years ago

For any nonzero value of a, and for any integers m and n,

Aleks04 [339]

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3 years ago

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jok3333 [9.3K]

Answer:

Step-by-step explanation:

Order of operations GERMDAS

Grouping: no grouping

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Radicals: no radicals

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3 years ago

Read 2 more answers