unicornsteven
unicornsteven unicornsteven
  • 24-06-2017
  • Mathematics
contestada

It is given that the gradient of the line passing through A(2,1) and B(5,k) is 1/6. Find the value of k.

Respuesta :

texaschic101
texaschic101 texaschic101
  • 24-06-2017
slope (gradient) : (y2 - y1) / (x2 - x1)
(2,1)..x1 = 2 and y1 = 1
(5,k)..x2 = 5 and y2 = k

slope : (k - 1) / (5 - 2) = 1/6
            (k - 1) / 3 = 1/6
            k - 1 = 1/6 * 3
            k - 1 = 1/2
            k = 1/2 + 1
            k = 1/2 + 2/2
            k = 3/2 or 1.5

check..
(3/2 - 1) / (5 - 2) = 1/6
(3/2 - 2/2) / 3 = 1/6
(1/2) / 3 = 1/6
1/2 = 1/6 * 3
1/2 = 3/6
1/2 = 1/2 (correct)

k = 3/2 or 1.5
Answer Link

Otras preguntas

Because of urban sprawl in the United States, an area the size of which state is paved over each year?
In the year 2020, a divorced woman under age 50 collects $50,000 of alimony and child support as her sole source of income. The woman wishes to make a contribut
What organelle is found in a plant cell but not in a animal cell?
Translate "where do you run" in Spanish.​
A family visits a car show to research information on vehicles they might consider purchasing. Brochures for each vehicle provide helpful information for the ve
The radius of the circle has a length of units.
paying attention to only one side of your health triangle is the key to wellness. TRUE OR FALSE ​
What is the speed of a train that travels 52 kilometers in 3 hours?
Why are you a freaky idoit
What will be the correct use of the the river or the USA