Question

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

Answer 1

Slope = rise/run
(-2,3) (0,7)

7-3 /0- -2 = 4/2= 2
When x = 0 y=7 intercept

Answer is B

Answer 2

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.