Answer:
Option B - The slope of the line represented by this table is 2 and the y-intercept is 7.
Step-by-step explanation:
Given : The ordered pair below represent a linear relation below x and y.
(-3,1), (-2,3), (-1,5), (0,7), (1,9), (2,11)
The slope form is \(y=mx+c\)
where m is the slope of line and c is the y-intercept.
or to find slope between two points are \(m=\frac{y-y_1}{x-x_1}\)
Since they are ordered pairs so, there slopes were same
Let take points (-3,1), (-2,3)
\(m=\frac{y-y_1}{x-x_1}\)
\(m=\frac{3-1}{-2-(-3)}=\frac{2}{1}=2\)
Therefore, the slope of the given linear function is 2
Now, we have to find y intercept we put in slope form
\(y=mx+c\)
\(y=2x+c\)
Given pairs are ordered therefore, they satisfy the above equation so let point (-2,3)
\(3=2(-2)+c\)
\(c=3+4=7\)
So, slope of the line is 2 and y-intercept is 7.
Therefore, Option B is correct.
