Question

What’s the point slope form of an equation the has a slope of: (-1/6)

Passes through point: (9,-4)

Answer 1

• y +4 = (-1/6)(x -9)
• y = -1/6x -2.5

Explanation:

The point-slope form of the equation for a line with slope m through point (h, k) is ...

y -k = m(x -h)

For your given values m=-1/6 and (h, k) = (9, -4), your equation is ...

y +4 = (-1/6)(x -9)

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Solving for y puts this in slope-intercept form.

y = -1/6x +9/6 -4 . . . . eliminate parentheses, subtract 4

y = -1/6x -2.5