The ordered pairs below represent a linear relation between x and y. (-3,0), (-2,4), (-1,8), (0,12), (1,16), (2,20) Which of the following is a correct statement about this relation? A. The slope of the line represented by this table is -4 and the y-intercept is -3. B. The slope of the line represented by this table is 4 and the y-intercept is 12. C. The slope of the line represented by this table is 4 and the y-intercept is -3. D. The slope of the line represented by this table is -4 and the y-intercept is 12.
The answer is B.
The slope of the line represented by this table is 4 and the y-intercept is 12.
Answer:
The correct option is B.
Step-by-step explanation:
It is given that the ordered pairs below represent a linear relation between x and y. (-3,0), (-2,4), (-1,8), (0,12), (1,16), (2,20).
At y-intercept the value of x is 0. From the given points we can say that the y-intercept of the function is (0,12).
If a line passing through the two points, then the slope of the function is
\(m=\frac{y_2-y_1}{x_2-x_1}\)
The slope of the function is
\(m=\frac{4-0}{-2-(-3)}=\frac{4}{1}=4\)
Therefore the slope of the line represented by this table is 4 and the y-intercept is 12. Option B is correct.