Question

Could you please check my answer? Use the picture to determine which inequality represents the graph:(I'll text the picture) My answer: D

Answer 1

Firstly determine the equation of the line using slope and intercept form

picking points (0,1) and (2,5)

slope m = (5-1)/(2-0) = 4/2 =2

y-intercept, c = 1

using y = mx + c

y = 2x + 1 _______equation of the line

test the region above the line with a point within the region lets say point (1,6)

x = 1, y = 6

we have

6 > 2(1) + 1

6> 3

Since this is a true statement, and remember that the line is a continous line, the shaded region above the line represent

`Y\text{ }\ge\text{ 2x + 1 }`