Question

the points l(-4, -6), m(-5, -1), and n(5, 1) form a triangle. plot the points then click the \graph triangle\ button.
click on the graph to plot a point. click a point to delete it.

Explanation:

Step1: Plot point L

To plot \( L(-4, -6) \), find the x - coordinate \( - 4 \) on the horizontal axis (x - axis) and the y - coordinate \( -6 \) on the vertical axis (y - axis). The intersection of the vertical line through \( x=-4 \) and the horizontal line through \( y = - 6 \) is the location of point \( L \).

Step2: Plot point M

To plot \( M(-5, -1) \), find the x - coordinate \( - 5 \) on the x - axis and the y - coordinate \( -1 \) on the y - axis. The intersection of the vertical line through \( x=-5 \) and the horizontal line through \( y=-1 \) is the location of point \( M \).

Step3: Plot point N

To plot \( N(5, 1) \), find the x - coordinate \( 5 \) on the x - axis and the y - coordinate \( 1 \) on the y - axis. The intersection of the vertical line through \( x = 5 \) and the horizontal line through \( y=1 \) is the location of point \( N \).
After plotting these three points, the triangle \( LMN \) is formed.

(Note: Since this is a plotting task, the final answer is the visual representation of the three points \( L(-4,-6) \), \( M(-5,-1) \) and \( N(5,1) \) on the coordinate plane as described in the steps above.)

Answer:

Step1: Plot point L

To plot \( L(-4, -6) \), find the x - coordinate \( - 4 \) on the horizontal axis (x - axis) and the y - coordinate \( -6 \) on the vertical axis (y - axis). The intersection of the vertical line through \( x=-4 \) and the horizontal line through \( y = - 6 \) is the location of point \( L \).

Step2: Plot point M

To plot \( M(-5, -1) \), find the x - coordinate \( - 5 \) on the x - axis and the y - coordinate \( -1 \) on the y - axis. The intersection of the vertical line through \( x=-5 \) and the horizontal line through \( y=-1 \) is the location of point \( M \).

Step3: Plot point N

To plot \( N(5, 1) \), find the x - coordinate \( 5 \) on the x - axis and the y - coordinate \( 1 \) on the y - axis. The intersection of the vertical line through \( x = 5 \) and the horizontal line through \( y=1 \) is the location of point \( N \).
After plotting these three points, the triangle \( LMN \) is formed.

(Note: Since this is a plotting task, the final answer is the visual representation of the three points \( L(-4,-6) \), \( M(-5,-1) \) and \( N(5,1) \) on the coordinate plane as described in the steps above.)