Question

30 Points

1.) Find the slope of the line that contains (5,4) and (0,−2).


If the slope is not an integer, enter it is a fraction in simplest form. Do not enter a mixed number. Remember, a fraction in simplest form never contains a negative sign in the denominator. If the slope is undefined, “undefined” should be entered.


2.) Find the slope of the line that contains (6,−2) and (−4,6).


If the slope is not an integer, enter it is a fraction in simplest form. Do not enter a mixed number. Remember, a fraction in simplest form never contains a negative sign in the denominator. If the slope is undefined, “undefined” should be entered.

Answer 1

1. m = 6/5 or 1 1/5

2. m = -4/5

Explanation:

1.) Find the slope of the line that contains (5,4) and (0,−2).

Slope m = (y2-y1)/(x2-x1)

m = (-2 - 4)/(0 - 5) = -6/-5 = 6/5

m = 1 1/5

2.) Find the slope of the line that contains (6,−2) and (−4,6).

Slope m = (y2-y1)/(x2-x1)

m = (6 - -2)/(-4 - 6) = 8/-10 = -8/10 = -4/5