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How do you write the point slope form of the equation given (0,-5) and (-2,4)?

Answer 1

Ethan Adkins

Use the equation of the point-slope form.

The equation of point-slope is

#y-y_1 = m(x-x_1)# where m is the slope and #(x_1, y_1)# is a point.

First find the slope using the two points #(0,-5)# and #(-2,4)#.

#m=(y_2-y_1)/(x_2-x_1)#

#m=(4- -5)/(-2-0) = 9/-2=-9/2#

Choose either of the points (it doesn't matter which one) and plug it into the point-slope equation, along with the value of m.

I am choosing the first point #(0, -5)# as #(x_1,y_1)#

#y--5=-9/2(x-0)# #y+5=-9/2(x-0)#

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Answer 2

Julia Adams

To write the point-slope form of the equation using the given points (0, -5) and (-2, 4), you first calculate the slope using the formula: ( m = \frac{{y_2 - y_1}}{{x_2 - x_1}} ). Then, choose one of the points and the slope to write the equation in the form ( y - y_1 = m(x - x_1) ). So, the equation would be ( y - (-5) = \frac{{4 - (-5)}}{{-2 - 0}}(x - 0) ), which simplifies to ( y + 5 = \frac{{9}}{{-2}}(x) ) or ( y + 5 = -\frac{{9}}{{2}}x ).

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Answer from HIX Tutor

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