What is the slope for (14,4) & (21,6)

2/7

Step-by-step explanation:

Slope (m) =  

ΔY

ΔX

=  

2

7

=0.28571428571429

θ =  

arctan(ΔY)

ΔX

=15.945395900923°

ΔX = 21 – 14 = 7

ΔY = 6 – 4 = 2

Distance (d) = √ΔX2 + ΔY2 = √53 = 7.2801098892805

Equation of the line:

y = 0.28571428571429x

When x=0, y = 0

When y=0, x = -0

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

b.my answer is b.

brainliest