Question

A straight Line passes through the points (1,8) and (4,17) determine the equation of the Line in the form y=lx+m

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Answer to a math question A straight Line passes through the points (1,8) and (4,17) determine the equation of the Line in the form y=lx+m

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Jon

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1) Hitta lutningen (l): Lutningen (l) för en linje som går genom två punkter (x₁, y₁) och (x₂, y₂) ges av formeln: lutning (l) = (y₂ - y₁) / (x₂ - x₁) Ersätter de givna punkterna: lutning (l) = (17 - 8) / (4 - 1) = 9 / 3 = 3 2) Hitta y-skärningen (m): Vi kan använda punkt-lutningsformen för linjeekvationen: y - y₁ = l(x - x₁), där (x₁, y₁) är en av de givna punkterna. Låt oss använda punkten (1,8): y - 8 = 3(x - 1) y - 8 = 3x - 3 y = 3x + 5 Så, linjens ekvation i formen y = lx + m är y = 3x + 5.

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