Question

Given the inequality below: x + 2y ≥ 10 The graph of the solution set is a line through (-4, 7) and (2, 4) with shading line.

Answer 1

The graph of the solution set is a solid line through (-4, 7) and (2, 4) with shading below line.

Answer 2

y ≥ -1/2x + 5

Explanation:

x + 2y ≥ 10

equation of the line is:

y = mx + c

i.e.

2y ≥ -x + 10

y ≥ -1/2x + 10/2

y ≥ -1/2x + 5

where,

slope, m = -1/2

constant or y - intercept, c = 5