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How do you write the equation in point slope form given (3,0), m= -2?

Answer 1

#y=-2(x-3)#

The equation of a line in #color(blue)"point-slope form"# is.

#color(red)(bar(ul(|color(white)(2/2)color(black)(y-y_1=m(x-x_1))color(white)(2/2)|)))# where m represents the slope and # (x_1,y_1)" a point on the line"#

#"here "m=-2" and " (x_1,y_1)=(3,0)#

#rArry-0=-2(x-3)#

#rArry=-2(x-3)larrcolor(red)" in point-slope form"#

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Answer 2

Ethan Adkins

To write the equation in point-slope form given the point (3, 0) and slope ( m = -2 ), use the formula:

[ y - y_1 = m(x - x_1) ]

Substitute the coordinates and slope into the formula:

[ y - 0 = -2(x - 3) ]

Simplify:

[ y = -2(x - 3) ]

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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.