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How do you write the equation in point slope form given (5,-1) and m=1/5?

Answer 1

Eli Assouline

See the entire solution process below:

The point-slope formula states: #(y - color(red)(y_1)) = color(blue)(m)(x - color(red)(x_1))#

Where #color(blue)(m)# is the slope and #color(red)(((x_1, y_1)))# is a point the line passes through.

Substituting the slope and the values from the point in the problem gives:

#(y - color(red)(-1)) = color(blue)(1/5)(x - color(red)(5))#

#(y + color(red)(1)) = color(blue)(1/5)(x - color(red)(5))#

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Answer 2

Nathan Axel

The point-slope form of the equation of a line is given by:

y - y1 = m(x - x1)

Substitute the given values: y - (-1) = (1/5)(x - 5)

Simplify: y + 1 = (1/5)(x - 5)

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.