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
Jon
4.6110 Answers
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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