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Find a​ point-slope form for the line with slope 1/5 and passing through the point ​(​-6,-8​).

User Hbaltz
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Final answer:

The point-slope form for the line with slope 1/5 and passing through the point (-6, -8) is y + 8 = (1/5)(x + 6)

Step-by-step explanation:

The point-slope form of a linear equation is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.

In this case, the slope is 1/5 and the point given is (-6, -8). Substituting these values into the point-slope form, we get y - (-8) = (1/5)(x - (-6)). Simplifying the equation gives y + 8 = (1/5)(x + 6).

Therefore, the point-slope form for the line with slope 1/5 and passing through the point (-6, -8) is y + 8 = (1/5)(x + 6).

User Ben Fossen
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