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What is a point-slope equation of the line with slope -12 that goes through the point (5,3) y-3=12(x-5) B. y-3=-12(x-5) C y+3=-12(x+5) D. y+3=12(x+5)

Pergunta

What is a point-slope equation of the line with slope -12 that goes through
the point (5,3)
y-3=12(x-5)
B. y-3=-12(x-5)
C y+3=-12(x+5)
D. y+3=12(x+5)

What is a point-slope equation of the line with slope -12 that goes through the point (5,3) y-3=12(x-5) B. y-3=-12(x-5) C y+3=-12(x+5) D. y+3=12(x+5)

Solução

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DiegoMestre · Tutor por 5 anos

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The point-slope form of a linear equation is given by:<br /><br />\[ y - y_1 = m(x - x_1) \]<br /><br />where \( m \) is the slope of the line and \((x_1, y_1)\) is a point on the line.<br /><br />Given:<br />- Slope \( m = -12 \)<br />- Point \((x_1, y_1) = (5, 3)\)<br /><br />Substitute these values into the point-slope form equation:<br /><br />\[ y - 3 = -12(x - 5) \]<br /><br />So, the correct answer is:<br /><br />B. \( y - 3 = -12(x - 5) \)
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