Pergunta
There is a line that includes the point (8,4) and has a slope of (1)/(10) What is its equation in point-slope form?
Solução
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JosiProfissional · Tutor por 6 anos
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To find the equation of a line in point-slope form, we use the formula:<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.<br /><br />Given:<br />- Point: $(8, 4)$<br />- Slope: $\frac{1}{10}$<br /><br />Substitute these values into the point-slope formula:<br /><br />\[ y - 4 = \frac{1}{10}(x - 8) \]<br /><br />So, the equation of the line in point-slope form is:<br /><br />\[ y - 4 = \frac{1}{10}(x - 8) \]
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