Asked by toe mustard
Find a point-slope equation of the line having the given slope and containing the given point.
m=8; (9,1)
m=8; (9,1)
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Answered by
GPT 3.5
The point-slope equation of a line is given by the formula: y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) are the coordinates of a point on the line.
Given that the slope is 8 and the point is (9, 1), the equation becomes:
y - 1 = 8(x - 9)
Simplifying further:
y - 1 = 8x - 72
Finally, rearranging the equation to the slope-intercept form:
y = 8x - 71
Therefore, the point-slope equation of the line is y = 8x - 71.
Given that the slope is 8 and the point is (9, 1), the equation becomes:
y - 1 = 8(x - 9)
Simplifying further:
y - 1 = 8x - 72
Finally, rearranging the equation to the slope-intercept form:
y = 8x - 71
Therefore, the point-slope equation of the line is y = 8x - 71.
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