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How do you write the equation in point slope form given (–1, 4) with a slope of –1?

Answer 1

#y-4=-(x+1)#

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=-1" and " (x_1,y_1)=(-1,4)#

Substitute these values into the equation.

#y-4=-1(x-(-1))#

#rArry-4=-(x+1)larrcolor(red)" in point-slope form"#

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Answer 2

Nathan Axel

To write the equation in point-slope form given the point ((-1, 4)) and a slope of (-1), you use the formula:

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

Substitute the values of the point and slope into the formula:

[y - 4 = -1(x - (-1))] [y - 4 = -1(x + 1)] [y - 4 = -x - 1]

So, the equation in point-slope form is (y - 4 = -x - 1).

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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.