Question

Draw the graph of the inequality: y>4x+3 You can refer to Participation Activities 11 and 12 in the Reading and Participation section Graphing Linear Inequalities. Those two activities can give you practice in drawing graphs of linear inequalities in Mobius. Part a: Find two points on the associated line. Often it's smart to start with the values x = 0 and x = 1.The point (0, ) is on the line y=4x+3.The point (1, ) is on the line y=4x+3. Part b: Find a point that satisfies the strict inequality y>4x+3.The point (0, Preview ) satisfies y>4x+3. Part c: To sketch this inequality, first sketch the boundary line using the Two points connected by a line icon and then use the area icon triangle with a dot in the middle to choose either the region above the line or below the line. Finally use the solid-dashed line icon solid and dashed lines to convert the boundary line from a solid line to a dashed line if appropriate.

Answer 1

Part A:

`\begin{gathered} y=4x+3 \\ \\ x=0\rightarrow y=4(0)+3\rightarrow y=3 \\ \Rightarrow(0,3) \\ \\ x=1\rightarrow y=4(1)+3\rightarrow y=7 \\ \Rightarrow(1,7) \end{gathered}`

Part B:

Point (0,4) satisfies the strict inequality

Part C: