Question

for the graph, complete the following (a) write a table of ordered pairs from the graph. (b) write an equation from the table. (c) state which variable is the independent variable and which is the dependent variable. (1,3) (2,6) (3,9) (4,12) (5,15) (6,18)

Answer 1

(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.