The ordered pairs below represent a linear relation between x and y.

(-3,-3), (-2,0), (-1,3), (0,6), (1,9), (2,12)

which of the following is a correct statement about this relation?

a. the slope of the line represented by this table is -3 and the y-intercept is 6.

b. the slope of the line represented by this table is 3 and the y-intercept is 6.

c. the slope of the line represented by this table is -3 and the y-intercept is -2.

d. the slope of the line represented by this table is 3 and the y-intercept is -2.

b. The slope of the line represented by this table is 3 and the y-intercept is 6.

Step-by-step explanation:

Given : The ordered pairs below represent a linear relation between x and y.

(-3,-3), (-2,0), (-1,3), (0,6), (1,9), (2,12)

The slope of line is given by :

Now, slope of the given line by using points (-3,-3) and (-2,0).

Hence, the slope of line is 3.

We know that the y intercept has x coordinat zero.

From the given points we can see that in point (0,6), x coordinate is 0.

Therefore,  the y intercept of the line is 6.

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.