1 00:00:00,170 --> 00:00:02,436 Graphing a system of equations has 2 00:00:02,437 --> 00:00:05,410 steps similar to graphing one equation. 3 00:00:05,411 --> 00:00:08,290 Here is a system of two equations. 4 00:00:08,291 --> 00:00:11,716 Y equals four x minus four and 5 00:00:11,717 --> 00:00:14,900 Y equals negative two x plus eight. 6 00:00:14,901 --> 00:00:17,460 First, find the slope and Y 7 00:00:17,461 --> 00:00:19,482 intercept of the first equation. 8 00:00:19,483 --> 00:00:23,620 The slope is four because that is the coefficient of x. 9 00:00:23,621 --> 00:00:27,240 The Y intercept or B is negative four. 10 00:00:27,930 --> 00:00:30,316 Next, find the slope and Y 11 00:00:30,317 --> 00:00:32,753 intercept of the second equation. 12 00:00:32,754 --> 00:00:35,116 The slope is negative two because 13 00:00:35,117 --> 00:00:37,244 that is the coefficient of x. 14 00:00:37,245 --> 00:00:40,348 The Y intercept or b is eight. 15 00:00:40,349 --> 00:00:44,490 Graph both equations on the same coordinate plane. 16 00:00:44,491 --> 00:00:47,890 Remember to first graph the Y intercept. 17 00:00:47,891 --> 00:00:51,012 Then use the slope to find more points. 18 00:00:51,013 --> 00:00:53,412 The first line is the purple line. 19 00:00:53,413 --> 00:00:55,604 The second line is in black. 20 00:00:55,605 --> 00:00:58,026 Identify the solution by finding 21 00:00:58,027 --> 00:01:00,458 where the two lines intersect. 22 00:01:00,459 --> 00:01:03,840 They intersect at the point of 2,4.