Question

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 -2.
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 6.

Answer 1

we can draw your points on a \(x,y-\) plane

Answer 2

hint:
the \(y-\)intercept, is the value of the y-coordinate, when \(x=0\)

Answer 3

for slope, I choose the first and second point, and I apply this formula:
\[m = \frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}\]
where: \((x_1,y_1)=(-3,-3)\) and \((x_2,y_2)=(-2,0)\)