Question

What is the slope of the line that contains the points (7,-1)and(6,-4)

Answer 1

3

Solution,

Let the points be A and B

A(7,-1)--->( X1,y1)

B(6,-4)---->(x2,y2)

Now,

`slope = (y2 - y1)/(x2 - x1) \\ \: \: \: \: \: \: = ( - 4 - ( - 1))/(6 - 7) \\ \: \: \: \: \: \: = ( - 4 + 1)/( - 1) \\ \: \: \: \: \: = ( - 3)/( - 1) \\ \: \: \: \: = 3`

Hope this helps..

Good luck on your assignment..

Answer 2

-1/3 (given that the first co-ordinate is the initial point)

Explanation:

slope of a line is basically the change in y divided by the change in x.

we have the 2 co-ordinates (7,-1) , (6,-4)

lets find the change in x = 7 - 6 (the difference of the x - values of both the coordinates)

change in y = -1 - (-4)

change in x = -1

change in y = 3

now, slope is change in y / change in x

slope = -1/3