What is the equation of the line between #(-2,4)# and #(7,2)#?

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Answer 1 · 2018-05-12T07:21:39

See explanation.

If we have two points on a line we can easily calculate its slope:

#m=(y_B-y_A)/(x_B-x_A)#

Here: #m=(2-4)/(7-(-2))=-2/9=-2/9#

So the equation is: #y=-2/9x+b#

Now we have to calculate #b# using any of the given points:

#2=-2/9*7+b#

#b=2+14/9=32/9#

So the equation of the line is: