Find The Number Of Solutions In A System By Graphing

<p>Graph the lines and determine the number of solutions:</p><ul><li><p>`y = -x - 2`</p></li><li><p>`y = 2x - 8`</p></li></ul></selectivedisplay><selectivedisplay><LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 15, "x_interval": 1, "y_interval": 1 }, "points": [], "line_segments": [] }'></LineGraph ><p>Number of solutions</p><ul><li><p>No solution</p></li><li><p>Exactly one solution</p></li><li><p>Infinitely many solutions</p></li></ul></selectivedisplay>

<p>Graph the lines and determine the number of solutions:</p><ul><li><p>`y = -1/2x + 3`</p></li><li><p>`x + 2y = 6`</p></li></ul></selectivedisplay><selectivedisplay><LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 15, "x_interval": 1, "y_interval": 1 }, "points": [], "line_segments": [] }'></LineGraph ><p>Number of solutions</p><ul><li><p>No solution</p></li><li><p>Exactly one solution</p></li><li><p>Infinitely many solutions</p></li></ul></selectivedisplay>

<p>Graph the lines and determine the number of solutions:</p><ul><li><p>`y = -x + 4`</p></li><li><p>`2x - y = 2`</p></li></ul></selectivedisplay><selectivedisplay><LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 15, "x_interval": 1, "y_interval": 1 }, "points": [], "line_segments": [] }'></LineGraph ><p>Number of solutions</p><ul><li><p>No solution</p></li><li><p>Exactly one solution</p></li><li><p>Infinitely many solutions</p></li></ul></selectivedisplay>

<p>Graph the lines and determine the number of solutions:</p><ul><li><p>`2x - 2y = -8`</p></li><li><p>`4x - 4y = -16`</p></li></ul></selectivedisplay><selectivedisplay><LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 15, "x_interval": 1, "y_interval": 1 }, "points": [], "line_segments": [] }'></LineGraph ><p>Number of solutions</p><ul><li><p>No solution</p></li><li><p>Exactly one solution</p></li><li><p>Infinitely many solutions</p></li></ul></selectivedisplay>