y = -\\frac{1}{2}x - 6\\ny = x + 6\\nplot two lines by clicking the graph.\\nclick a line to delete it.
y = -\\frac{1}{2}x - 6\\ny = x + 6\\nplot two lines by clicking the graph.\\nclick a line to delete it.
Answer
Explanation:
Step1: Analyze ( y = -\frac{1}{2}x - 6 )
To plot this line, find two points. Let ( x = 0 ), then ( y = -6 ), so we have the point ( (0, -6) ). Let ( x = -4 ), then ( y = -\frac{1}{2}(-4) - 6 = 2 - 6 = -4 ), so the point ( (-4, -4) ).
Step2: Analyze ( y = x + 6 )
For this line, let ( x = 0 ), then ( y = 6 ), giving the point ( (0, 6) ). Let ( x = -6 ), then ( y = -6 + 6 = 0 ), giving the point ( (-6, 0) ).
Step3: Plot the points
Plot ( (0, -6) ) and ( (-4, -4) ) for ( y = -\frac{1}{2}x - 6 ), and ( (0, 6) ) and ( (-6, 0) ) for ( y = x + 6 ), then draw the lines through these points.
Answer:
To plot ( y = -\frac{1}{2}x - 6 ): Use points like ( (0, -6) ) and ( (-4, -4) ).
To plot ( y = x + 6 ): Use points like ( (0, 6) ) and ( (-6, 0) ).
(Note: The actual plotting is done by clicking the graph at these points and drawing the lines.)