Question

Write an equation in slope-intercept form from the linear inequality graphed in the picture.

Answer 1

Answer:

• equation: y = x+3
• inequality: y < x+3

Step-by-step explanation:

The slope of the line is 1 unit of rise for 1 unit of run, so ...

  m = rise/run = 1/1 = 1

The y-intercept is 3 grid lines above the x-axis, so is (0, 3).

Then the equation of the line is ...

  y = 1x +3

The inequality has that line as a boundary, but the y-values on the line are not part of the solution space. Only y-values below the line (less than those on the line) are in the solution. The inequality is ...

  y < x +3