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How do you write an equation in point slope form of the line that contains the given point (2,3) and has the given slope 2?

Answer 1

Eli Assouline

In general, given a point #(x_0,y_0)# and a slope of #m# the point-slope form of the line is #(y-y_0) = m(x-x_0)#

For the given case: #(y-3) = 2(x-2)# which can be simplified as #y = 2x-1#

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Answer 2

Jace Anderson

The equation of a line in point-slope form is given by ( y - y_1 = m(x - x_1) ), where ( (x_1, y_1) ) is the given point and ( m ) is the given slope. Substituting ( (2,3) ) for ( (x_1, y_1) ) and 2 for ( m ), we get ( y - 3 = 2(x - 2) ).

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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.