A line that passes through the points (–4, 10) and (–1, 5) can be represented by the equation y = y equals negative StartFraction 5 Over 3 EndFraction left-parenthesis x minus 2 right parenthesis.(x – 2). Which equations also represent this line? Select three options.
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Given : line that passes through the points (–4, 10) and (–1, 5)
To find : Equation of line
Solution:
A line that passes through the points (–4, 10) and (–1, 5)
Slope = ( 5 - 10)/(-1 - (-4))
= -5/3
Equation of line
y - 5 = (-5/3)(x - (-1))
=> 3y - 15 = -5x - 5
=> 5x + 3y = 10
5x + 3y = 10
=> 3y = -5x + 10
=> 3y = -5(x - 2)
=> y = (-5/3)(x - 2)
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Answered by
7
Answer:
B.y=-5/3x +10/3 C.3y= -5x +10 D. 5x + 3y = 10
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