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julsineya [31]
3 years ago
7

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)
Mathematics
1 answer:
Allisa [31]3 years ago
8 0

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)

<em>x is the independent variable</em> and <em>y is the dependent variable </em>since it depends on the value of 'x'. it is thrice the value of x at each point.




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