Which two points lie on a line with a slope closest to zero ?

Point N and point K

Step-by-step explanation:

The steeper a line is in the graph, the greater the value of the slope of the line would be, and also, the farther it would be from 0. On the other hand, the more gentle and less sloppy a line is, the smaller the value of the slope is, and also, the closer it is to 0.

From the graph given, there are possible set of points in a line that have a gentle line slope.

The first is, points N and K. The slope of this line is ⅑.

The second is, points P and L. The slope of this line is ⅙.

From the two above lines, the one with a slope closest to 0 is the line that runs through points N and K. ⅑ is closer to 0 than ⅙.

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).