Answer:
The point is part of the solution. It is found in the doubly-shaded area.
Step-by-step explanation:
The first inequality graphs with a solid boundary line of negative slope that has negative x- and y-intercepts. Shading is below the line (and to its left).
The second inequality graphs with a solid boundary line of negative slope that has positive x- and y-intercepts. Shading is above the line.
The solution space is the doubly-shaded area to the (upper) left of the point where the boundary lines cross. The given point is in the 2nd quadrant, and is in the solution space.
The point is part of the solution set.
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Additional comment
Sometimes help is needed with graphing.
If a variable in the inequality has a coefficient of 1, its corresponding intercept is easily found. (It is the constant on the other side of the inequality symbol.)
The slope of the boundary line can be found by solving for y. The slope is the coefficient of x in that formulation. For the first inequality, the slope is -4 and the y-intercept is -3. This means (-1, 1) and (-2, 5) will be other points on the line.
For the second inequality, the slope is -1/8, and the x-intercept is 7. This, too, means that (-1, 1) is a point on the line, along with (-9, 2).
Slope is rise/run. A slope of -1/8 means the line falls 1 unit (rise) for each 8 units to the right (run). Working the other direction, the line will rise 1 unit for each 8 units to the left.
