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Debora [2.8K]
3 years ago
15

Write the equation of a line passing through (2, 1) that is parallel to the line passing through (-1,2) and (0, -1)

Mathematics
1 answer:
Feliz [49]3 years ago
8 0

y = -3x + 7 is the equation of a line passing through (2, 1) that is parallel to the line passing through (-1,2) and (0, -1)

<em><u>Solution:</u></em>

Given that, we have to write the equation of a line passing through (2, 1) that is parallel to the line passing through (-1,2) and (0, -1)

Find the slope of line

<em><u>The slope of line is given by formula:</u></em>

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

Here given that line is parallel to the line passing through (-1, 2) and (0, -1)

Therefore,

(x_1, y_1) = (-1, 2)\\\\(x_2, y_2) = (0, -1)

Substituting the values we get,

m = \frac{-1-2}{0-(-1)}\\\\m = \frac{-3}{1}\\\\m = -3

Thus slope of line is -3

We know that, slopes of parallel lines are equal

Therefore, slope of line parallel to the line passing through (-1,2) and (0, -1) is also -3

Now find the equation of line with slope -3 and passing through (2, 1)

<em><u>The equation of line in slope intercept form is given as:</u></em>

y = mx + c ------ eqn 1

Where, "m" is the slope of line and "c" is the y intercept

<em><u>Substitute m = -3 and (x, y) = (2, 1) in eqn 1</u></em>

1 = -3(2) + c

1 = -6 + c

c = 7

<em><u>Substitute m = -3 and c = 7 in eqn 1</u></em>

y = -3x + 7

Thus the equation of line is found

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Step-by-step explanation:

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You stand by the exit door of the mall starting at noon and ask 82 people as they are leaving whether they bought anything. You find that only 20 people made a purchase.

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Answer:

The only number he could choose is 90

Step-by-step explanation:

Simply put, we want to find the numbers between 67 and 113 which are multiples of 3,5 and 6.

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Answer:

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