Question

Find the slopes of the lines containing the following. (If an answer is undefined, enter UNDEFINED.)

a)
b)
c)
d)
e)
f)

Answer 1

Explanation:

a)

m = y2-y1 / x2-x1

P1 = (3,-4) as (x1,y1)

P2= (5,6) as (x2,y2)

m = 6-(-4) / 5 - 3)

m = 6+4 / 2

m = 10 / 2

m = 5

b)

m = y2-y1 / x2-x1

P1 = (5,-3) as (x1,y1)

P2= (5,6) as (x2,y2)

m= 6-(-3) / 5-5

m = 6+3 / 0 ( the world blows up when you divide by zero :0 undefined )

c)

m = y2-y1 / x2-x1

P1 = (1,-1) as (x1,y1)

P2= (8,-8) as (x2,y2)

m = -8-(-1) / 8-1

m = -8+1 / 7

m = -7 / 7

m = -1

d)

m = y2-y1 / x2-x1

P1 = (-2.8,2) as (x1,y1)

P2= (-1.2,2) as (x2,y2)

m = 2-2 / a number 0 because the numerator is 0 and there is a number in the denominator

e)

m = y2-y1 / x2-x1

P1 = (c,d) as (x1,y1)

P2= (e,f) as (x2,y2)

m = f-d / e-c that's all you can do until we're given those variables

f)

m = y2-y1 / x2-x1

P1 = (0,c) as (x1,y1)

P2= (d,0) as (x2,y2)

m = 0-c / d-0

m = -c /d