University:
High School
Course:
High School Mathematics
Academic year:

2022
Views:

17

Pages:

4
Author:

Amelie Villegas

Solution = where the lines cross each other. Instructions: Solve each system by graphing. Problems and Solutions: System: y = 1/4x - 4 y = -x + 1 Solution: (4, -3) Graph: Line 1: Starts at (0, -4) and slopes upward with a rise of 1 and a run of 4. Line 2: Starts at (0, 1) and slopes downward with a rise of -1 and a run of 1. The lines intersect at point (4, -3). System: y = 3x - 4 y = -1/2x + 3 Solution: (2, 2) Graph: Line 1: Starts at (0, -4) and slopes upward with a rise of 3 and a run of 1. Line 2: Starts at (0, 3) and slopes downward with a rise of -1 and a run of 2. The lines intersect at point (2, 2). System: 5x + y = -3 x - y = -3 Solution: (-1, 2) Graph: Line 1: Starts at (0, -3) and slopes downward with a rise of -5 and a run of 1. Line 2: Starts at (0, 3) and slopes upward with a rise of 1 and a run of 1. The lines intersect at point (-1, 2). System: 5x + 2y = 2 x + 2y = -6 Solution: (2, -4) Graph: Line 1: Starts at (0, 1) and slopes downward with a rise of -5 and a run of 2. Line 2: Starts at (0, -3) and slopes downward with a rise of -1 and a run of 2. The lines intersect at point (2, -4). Solution = where the lines cross each other. Instructions: Solve each system by graphing. Problems and Solutions: System: y = 1/4x - 4 y = -x + 1 Solution: (4, -3) Graph: Line 1: Starts at (0, -4) and slopes upward with a rise of 1 and a run of 4. Line 2: Starts at (0, 1) and slopes downward with a rise of -1 and a run of 1. The lines intersect at point (4, -3). System: y = 3x - 4 y = -1/2x + 3 Solution: (2, 2) Graph: Line 1: Starts at (0, -4) and slopes upward with a rise of 3 and a run of 1. Line 2: Starts at (0, 3) and slopes downward with a rise of -1 and a run of 2. The lines intersect at point (2, 2). System: 5x + y = -3 x - y = -3 Solution: (-1, 2) Graph: Line 1: Starts at (0, -3) and slopes downward with a rise of -5 and a run of 1. Line 2: Starts at (0, 3) and slopes upward with a rise of 1 and a run of 1. The lines intersect at point (-1, 2). System: 5x + 2y = 2 x + 2y = -6 Solution: (2, -4) Graph: Line 1: Starts at (0, 1) and slopes downward with a rise of -5 and a run of 2. Line 2: Starts at (0, -3) and slopes downward with a rise of -1 and a run of 2. The lines intersect at point (2, -4).