Question

What is the constant of variation, k, of the line y=kx through (3,18) and (5,30)?

Answer 1

To find the constant of variation, k, for the line that passes through the points (3, 18) and (5, 30), you can use the formula for the slope (k) of a line:

k = y2-y1/x2-x1

In this formula, (x₁, y₁) represents one point on the line, and (x₂, y₂) represents another point on the line. Using the given points (3, 18) and (5, 30):

K= 30-18/5-3

Now, calculate the values in the numerator and denominator:

K=12/2

Simplify the fraction:

k=

So, the constant of variation, k, for the line that passes through the points (3, 18) and (5, 30) is 6.

Answer 2

in the first point (3,18) X=3 and y=18

y=kx

18=k.3

k=6

now

in another point is (5,30) so, X=5and y=30

here,

y= kx

30=6*5

30=30

true