Pergunta
A line has a slope o -8 and passes through the point (8,-1) What is its equation in point- slope form? Use the specified p int in your equation . Write your answer using integers proper fractions, and improper fract ons. Simplify all fractions. square
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AdelinaElite · Tutor por 8 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 \( m \) is the slope of the line, and \((x_1, y_1)\) is a point on the line.<br /><br />Given:<br />- Slope \( m = -8 \)<br />- Point \((x_1, y_1) = (8, -1)\)<br /><br />Substitute these values into the point-slope formula:<br /><br />\[ y - (-1) = -8(x - 8) \]<br /><br />Simplify the equation:<br /><br />\[ y + 1 = -8(x - 8) \]<br /><br />So, the equation of the line in point-slope form is:<br /><br />\[ y + 1 = -8(x - 8) \]
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