Question
Plot y=-x+5 and y= 2x -4
Answers
GPT 3.5
To plot the equations y = -x + 5 and y = 2x - 4, we first need to graph both equations on the same set of axes.
For y = -x + 5:
1. When x = 0, y = -0 + 5 = 5
2. When y = 0, 0 = -x + 5 -> x = 5
This gives us the points (0, 5) and (5, 0) for the line y = -x + 5.
For y = 2x - 4:
1. When x = 0, y = 2(0) - 4 = -4
2. When y = 0, 0 = 2x - 4 -> 2x = 4 -> x = 2
This gives us the points (0, -4) and (2, 0) for the line y = 2x - 4.
Now, we can plot these points on a graph and draw the straight lines passing through these points. The line for y = -x + 5 passes through (0, 5) and (5, 0), while the line for y = 2x - 4 passes through (0, -4) and (2, 0).
The two lines intersect at the point (3, 2). This is the point where both equations are true.
For y = -x + 5:
1. When x = 0, y = -0 + 5 = 5
2. When y = 0, 0 = -x + 5 -> x = 5
This gives us the points (0, 5) and (5, 0) for the line y = -x + 5.
For y = 2x - 4:
1. When x = 0, y = 2(0) - 4 = -4
2. When y = 0, 0 = 2x - 4 -> 2x = 4 -> x = 2
This gives us the points (0, -4) and (2, 0) for the line y = 2x - 4.
Now, we can plot these points on a graph and draw the straight lines passing through these points. The line for y = -x + 5 passes through (0, 5) and (5, 0), while the line for y = 2x - 4 passes through (0, -4) and (2, 0).
The two lines intersect at the point (3, 2). This is the point where both equations are true.