Question

How do you find the slope given (7/10,-1) and (-1/5, -1/5)?

Answer 1

See a solution process below:

Explanation:

The formula for find the slope of a line is:

`m = (color(red)(y_2) - color(blue)(y_1))/(color(red)(x_2) - color(blue)(x_1))`

Where `(color(blue)(x_1), color(blue)(y_1))` and `(color(red)(x_2), color(red)(y_2))` are two points on the line.

Substituting the values from the points in the problem gives:

`m = (color(red)(-1/5) - color(blue)(-1))/(color(red)(-1/5) - color(blue)(7/10)) = (color(red)(-1/5) + color(blue)(1))/(color(red)(-1/5) - color(blue)(7/10)) = (color(red)(-1/5) + color(blue)(5/5))/(color(red)(-2/10) - color(blue)(7/10)) = (4/5)/(-9/10) = -40/45 = -8/9`