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Discover the Slope of the Line Passing By way of Two Factors


Allow us to contemplate a straight line cross which is passing via the 2 factors (x1, y1) and (x2, y2) as proven under.

Instance 1 :

Discover the slope of the straight line passing via the factors (3, – 2) and (-1, 4).

Resolution :

Method to seek out the slope of the road passing via two factors is 

 m  =  (y2 – y1)/(x– x1)

Substitute (x1, y1)  =  (3, -2) and (x2, y2)  =  (-1, 4).

m  =  [4 – (-2)]/(-1 – 3)

=  (4 + 2)/(-4)

=  6/(-4)

=  -3/2

So, the slope of the given line is -3/2.

Instance 2 :

Discover the slope of the straight line passing via the factors (5, – 2) and (4, -1).

Resolution :

Method to seek out the slope of the road passing via two factors is

 m  =  (y2 – y1)/(x– x1)

Substitute (x1, y1)  =  (5, -2) and (x2, y2)  =  (4, -1).

m  =  [-1 – (-2)]/(4 – 5)

=  (-1 + 2)/(-1)

=  1/(-1)

=  -1

So, the slope of the given line is -1.

Instance 3 :

Discover the slope of the straight line passing via the factors (-2, – 1) and (4, 0).

Resolution :

Method to seek out the slope of the road passing via two factors is

 m  =  (y2 – y1)/(x– x1)

Substitute (x1, y1)  =  (-2, -1) and (x2, y2)  =  (4, 0).

m  =  (0 – 1)/[4 – (-2)]

=  -1/(4 + 2)

=  -1/6

So, the slope of the given line is -1/6.

Instance 4 :

Discover the slope of the straight line passing via the factors (1, 2) and (-4, 5).

Resolution :

Method to seek out the slope of the road passing via two factors is

 m  =  (y2 – y1)/(x– x1)

Substitute (x1, y1)  =  (1, 2) and (x2, y2)  =  (-4, 5).

m  =  (5 – 2)/(-4 – 1)

=  3/(-5)

=  -3/5

So, the slope of the given line is -3/5.

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