# How do you write an equation of a line with points (-5,3), (0,-7)?

or

Or

Substituting the values from the points in the problem gives:

We can substitute the slope we calculated and the first point giving:

We can also substitute the slope we calculated and the second point giving:

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To write the equation of a line given two points, you can use the point-slope form of the equation, which is:

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

where ( m ) is the slope of the line, and ( (x_1, y_1) ) is one of the given points.

Given the points (-5, 3) and (0, -7), we can first find the slope:

[ m = \dfrac{y_2 - y_1}{x_2 - x_1} ] [ m = \dfrac{-7 - 3}{0 - (-5)} ] [ m = \dfrac{-10}{5} ] [ m = -2 ]

Now, using the point-slope form with the point (-5, 3):

[ y - 3 = -2(x - (-5)) ] [ y - 3 = -2(x + 5) ] [ y - 3 = -2x - 10 ] [ y = -2x - 10 + 3 ] [ y = -2x - 7 ]

So, the equation of the line passing through the points (-5, 3) and (0, -7) is ( y = -2x - 7 ).

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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.

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.

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.

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