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A line with a slope of -9 passes through the point (2,3) . What is its equation in point-slope form?

Pergunta

A line with a slope of -9 passes through the point (2,3) . What is its equation in point-slope
form?

A line with a slope of -9 passes through the point (2,3) . What is its equation in point-slope form?

Solução

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JoãoElite · Tutor por 8 anos

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The point-slope form of a line's equation is given by:<br /><br />$y - y_1 = m(x - x_1)$<br /><br />where $(x_1, y_1)$ is a point on the line and $m$ is the slope of the line.<br /><br />Given that the slope $m$ is $-9$ and the point $(x_1, y_1)$ is $(2,3)$, we can substitute these values into the point-slope form to get the equation of the line:<br /><br />$y - 3 = -9(x - 2)$<br /><br />This is the equation of the line in point-slope form.
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