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Find the distance from the point (2,-1) to the line y = -x + 4. Round your answer to the nearest tenth.

User NealVDV
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1 Answer

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Final answer:

To find the distance from a point to a line, use the formula of the perpendicular distance. Apply the formula to find the distance from the given point to the given line, rounding to the nearest tenth.

Step-by-step explanation:

To find the distance from a point to a line, we can use the formula of the perpendicular distance from a point to a line. The formula is given by:

|Ax + By + C| / sqrt(A^2 + B^2)

In this case, the line equation is y = -x + 4, which can be rewritten as -x - y + 4 = 0. The coefficients A, B, and C are -1, -1, and 4 respectively, so the distance can be calculated as:

|(-1*2) + (-1*-1) + 4| / sqrt((-1)^2 + (-1)^2) = |2 + 1 + 4| / sqrt(1 + 1) = 7 / sqrt(2) = 4.9497 (rounded to the nearest tenth).

User Jsist
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