What is the equation for the line that passes through the points (-6,4) and (-2,9) answer in point slope form

y-4=5/4(x+6)

Step-by-step explanation:

is point slope form of equation of a line.

given points are :

(-6,4) and (2,-9) where

We have to find slope by using above points.

m=

m= 9-4 / -2-(-6)

m= 5/-2+6

m=5/4

now, take point  and put the value of slope in point-slope form of equation:

y-4=5/4(x-(-6))

y-4=5/4(x+6)  is point-slope form of  equation for the line that passes through the points (-6,4) and (-2,9) .

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