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

Answer 1

Hazel Anglin

y-3= #-2 (x-2)#

Slope of the line would be #(5-3)/(1-2)#= -2

The point slope form would be y-3=-2(x-2)

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Answer 2

Jameson Allen

The equation in point-slope form of the line given points (2,3) and (1,5) is:

( y - y_1 = m(x - x_1) ), where ( (x_1, y_1) ) is any point on the line and ( m ) is the slope.

First, find the slope using the formula: ( m = \frac{y_2 - y_1}{x_2 - x_1} ), substituting the given points:

( m = \frac{5 - 3}{1 - 2} = \frac{2}{-1} = -2 ).

Then, choose one of the points, say (2,3), and substitute into the equation:

( y - 3 = -2(x - 2) ).

This is the equation in point-slope form of the line.

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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.