Find a​ point-slope equation of the line having the given slope and containing the given point.  

m=8​; ​(9​,​1)

1 answer

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.
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