## annejrn 2 years ago 4x – 3y < –12 x – 6y >_ 6 can you please show me what the graph would look like

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1. annejrn

Can you show me how to graph x-6y greater than or equal to -18

2. jazy

FIRST, change it into Slope-Intercept form ~ $x - 6y \ge -18$Subtract x from both sides. $-6y \ge -x - 18$Divide both sides by -6. Flip the sign to <=. $y \le \frac{ 1 }{ 6 } x + 3$------------------------ Remember: y = mx + b m is slope b is y-intercept $y \le \frac{ 1 }{ 6 } x + 3$Slope is 1/6 y-intercept is 3 Graph the equation. Step 1) Plot the y-intercept (3) at point (0, 3). Step 2) Remember that:$slope = \frac{ rise }{ run } = \frac{ 1 }{ 6 }$So from point (0, 3) RISE 1 space up, and RUN 6 spaces to the right. Plot this point.

3. jazy

And draw a line between the two points.

4. jazy

|dw:1352993885016:dw|

5. jazy

|dw:1352993928030:dw|

6. jazy

|dw:1352993982295:dw|

7. jazy

|dw:1352994065349:dw|

8. jazy

The sign was LESS than or EQUAL to. So the line would be SOLID. The shading would be underneath the line, or on the side that includes the origin.

9. jazy

@annejrn I hope this helps! (:

10. SWAG

nice work