The blue line has a slope of 1 and a y-intercept at 0. In slope intercept form, this equation is y = x. The line is solid and not dashed. This means the inequality could include numbers ON the line itself. The shading is on the left side of the line so it's a greater than equation.
The blue inequality is y ≥ x.
The red line has a slope of 0 and a y-intercept at 6. Slope-intercept form: y = 6 The line is solid and not dashed meaning numbers on the line are again included. The shading is below the horizontal line created so it is a less than inequality.
The red inequality is y ≤ 6
Your system of linear inequalities would be:
y ≥ x
y ≤ 6
