Question #29461

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Answer 1 · 2017-10-10T18:38:02

True

I think "true" says it all.

Answer 2 · 2017-10-10T18:43:16

Yeah it's true.

Let the coordinates of two points be #P(x_1,y_1)# & #Q(x_2,y_2)#.

So, the slope of the line is #rarr#

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

Now, the equation of the line joining #P# & #Q# is #rarr#

#y-y_1=m(x-x_1)#.

#:.y-y_1=(y_2-y_1)/(x_2-x_1)xx(x-x_1)#.

#:.(y-y_1)(x_2-x_1)=(x-x_1)(y_2-y_1)#.

Now, let the above equation be #A#, where, #A=f(x,y)#.

Now, slope of the line is #rarr#

#m=d/(dx)(A)#, or, #m=d/(dy)(A)#.

So, it is true that slope of a straight line is the rate of change of the coordinates with respect to #x# & #y#.

Hope it Helps:)