Which equation represents a line that passes through (2, –left-parenthesis 2, negative StartFraction one-half EndFraction right-parenthesis.) and has a slope of 3?
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Given : a line that passes through (2, -1/2) and has a slope of 3
To Find : Equation of Line
Solution:
A line with slope m passing through ( x₁ , y₁) with slope m
has Equation of line
(y - y₁) = m(x - x₁)
m = 3
x₁ = 2
y₁ = -1/2
y - (-1/2) = 3(x - 2)
=> y + 1/2 = 3(x - 2)
=> 2y + 1 = 6(x - 2)
=> 2y + 1 = 6x - 12
=> 6x - 2y = 13
6x - 2y = 13 is the Equation of Line
y + 1/2 = 3(x-2)
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Answer:
c is the right answer
Step-by-step explanation:
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