How do you graph #y> -1/3x+5#?

Graph:

Determine the x- and y-intercepts.

X-Intercept

Simplify.

Y-Intercept

Plot the points and draw a dashed straight line through the points to indicate that the line is the boundary of the inequality but not part of it. Then shade in the area above the line to indicate the inequality.

graph{y> -1/3x+5 [-13.31, 18.72, -5.4, 10.62]}

To graph ( y > -\frac{1}{3}x + 5 ), follow these steps:

1. Begin by graphing the line ( y = -\frac{1}{3}x + 5 ).

   • Plot the y-intercept at (0, 5).
   • Use the slope of -1/3 to find another point, such as moving down 1 unit and right 3 units from the y-intercept to get another point.
   • Draw a dashed line to represent the inequality y > -1/3x + 5 since the inequality is strictly greater than.

2. Shade the region above the line because the inequality is y > -1/3x + 5.

The graph will have a dashed line representing ( y = -\frac{1}{3}x + 5 ) and the region above this line shaded.