Determine the equation that relates the variables.?

Question

Given that y varies directly as x and that y= 6 when x = 3,

a.) Determine the equation that relates the variables.

b.) Next put the equation into graphing coordinates

Answer 1

a) Use the direct variation equation y = kx

6 = k(3)
2 = k

Substitute 2 for k in the equation

y = 2x

b) The graph of this equation has a y-intercept of 0 and a slope of 2, so it contains (0, 0) and (1, 2)

Answer 2

(a) If y varies so, the general eqtn is y= kx.
Since y=6 when x=3, k=2.
(b) Don't know exactly what you mean. To graph y=2x, start at the origin and pick values of x. For each value of x, evaluate y = 2x. Roll your own coordinates.

Answer 3

y=kx
6=k(3)
k=2

y=2x

x=0 y=0
x=1 y=2
x=3 y=6 etc