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What is the equation in point-slope form of the line given (5,-1); m=-2/3?

Answer 1

Abigail Allen

See a solution process below:

The point-slope form of a linear equation is: #(y - color(blue)(y_1)) = color(red)(m)(x - color(blue)(x_1))#

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

Substituting the information from the problem gives:

#(y - color(blue)(-1)) = color(red)(-2/3)(x - color(blue)(5))#

#(y + color(blue)(1)) = color(red)(-2/3)(x - color(blue)(5))#

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Answer 2

Isaiah Anthony

The equation of the line in point-slope form with the given point (5, -1) and slope (m = -\frac{2}{3}) is:

(y + 1 = -\frac{2}{3}(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.