Question

does anyone know how to solve this? i dont remember doing any problems in class related to this and this single question alone has been stressing me out

Answer 1

Answer:

• y ≥ x +9
• y > -4x -10

Step-by-step explanation:

If you have graphed linear equations and inequalities, working this should not be stressful. You are working backward from the graph to determine what the equation must be.

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For the solid line, the y-intercept is +9 (where it crosses the y-axis) and the slope is 1 unit of rise for each 1 unit of run. The slope-intercept form of the equation is then ...

  y = x + 9

Since the line is solid and the shading is above it, the associated inequality is ...

  y ≥ x + 9

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For the dashed line, the y-intercept is -10. The line has a "rise" of -4 for each 1 unit of run, so its slope is -4. The slope-intercept form of the equation is then ...

  y = -4x -10

Since the line is dashed (does not include the "or equal to" case), and shading is above it, the associated inequality is ...

  y > -4x -10

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In summary, the system of inequalities is ...

• y ≥ x +9
• y > -4x -10

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If shading is below, then the relation symbol is < or ≤.

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You know that slope-intercept form of the equation of a line is ...

  y = mx + b . . . . . . where m is the slope and b is the y-intercept

Answer 2

Answer:

The answer to your question is below

Step-by-step explanation:

Process

1.- Get two points of each line to find the equation of each line

   Continuous line    A (-10, 0)  B (0, 9)

   Dotted line            C (-2, -3)   D (0, -10)

 Slope continuous line    m = $\frac{9 - 0}{0 + 10} = = \frac{9}{10}$

 Slope dotted line     m = $\frac{-10 + 3}{0 + 2} = \frac{-7}{2}$

2.- Get the equation of each line

     Continuous line    y + 0 = 9/10 (x + 10)

                                   y = 9/10x + 9

      Dotted line          y + 3 = -7/2(x + 2)

                                    y + 3 = -7/2x - 7

                                    y = -7/2x -7 - 3

                                    y = -7/2x - 10

3.- Find the inequalities

    Continuous line (we need the upper area of the line, we use ≥)

                               y ≥ 9/10x + 9

   The Dotted line (we also need the upper area, we use >)

                              y > -7/2x - 10