Answer:
(a) The table of the ordered pairs is given as:
x-values 1 2 3 4 5 6
y-values 3 6 9 12 15 18
(b)
We find the equation from the table using the slope intercept form.
Let y=mx+c
on using the first column i.e x=1 and y=3 we have equation as:
3=m+c-------(1)
on using the second column i.e. x=2 and y=6
we have 6=2m+c---------(2)
on subtracting equation (1) from equation (2) we get:
m=3
and finally on putting value of m in equation (1) we get c=0
Hence, the equation of the line is y=3x.
This equation holds for all the points.
(c)
x is the independent variable and y is the dependent variable since it depends on the value of 'x'. it is thrice the value of x at each point.
