Write the system of linear inequalities to represent each graph

Linear inequalities are similar to the slope-intercept form, which is:

y = mx + b

"m" is the slope, "b" is the y-intercept (the y value when x = 0) or (0,y)

The difference is that the sign is not an equal sign, so instead of =, you use < , > , ≤ , ≥.

When the sign is ≤ or ≥ ("less/greater than or equal to") the line is a solid line.

When the sign is < or >, the line is a dotted line.

When y is > (greater than), the shaded area is above the line.

When y is < (less than), the shaded area is below the line.

BLUE LINE:

Since the line is a solid line, and the shaded area is above the line, the sign is ≥.

y ≥ mx + b

When x = 0, y is 2, so the y-intercept is 2.

y ≥ mx + 2

To find the slope, you can use the slope formula and find and plug in two points. Or you can use this:

Rise is the number of units you go up(+) or down(-)

Run is the number of units you go to the right

If you look at the blue line, from each point, you go up 1 unit, and to the right 2 units. So the slope is

GREEN LINE:

The line is a solid line, and the shaded area is below the line, so the sign is ≤.

y ≤ mx + b

When x = 0, y is -1, so the y-intercept is -1

y ≤ mx - 1

If you look at the green line, from each point, you go up 1 unit, and to the right 3 units. So the slope is .

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step-by-step explanation: