Question

Please help me. I can't draw the graph lines correctly on this.

Answer 1

Answer:

  see below

Step-by-step explanation:

It is generally convenient to start at the y-intercept and use the slope to count squares for rise and run.

First equation

The y-intercept is -3. The ratio of rise to run is 1/4, so the dashed line will go up 1 square for each 4 squares to the right. To the left, it will go down 1 square for each 4 squares to the left. Since the inequality is y > ( ), the shading will be above the (dashed) line.

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Second equation

The y-intercept is 0. The ratio of rise to run is -1/2, so the solid line will go down 1 square for each 2 squares to the right. To the left, it will go down 1 square for each 2 squares to the left. Since the inequality is y ≥ ( ), the shading will be above the (solid) line.

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Comment on accurate drawing

For good accuracy, it is usually convenient to draw the boundary lines between points close to the edge of the graph. The first equation is a little tough that way because there aren't two sets of 4 squares between the y-axis and the edge of the graph.