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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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Answer:

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Step-by-step explanation:

Since this is a problem of proportion we can use the Rule of three to solve this. We do this by multiplying the diagonal available values and dividing by the third value in order to get the missing variable, which in this case would be the number of stamps in the other country. Like so...

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