Which graph represents the solutions to the given systemp Y equals minus X plus 2? Y. Equals. 1overtwotimespluseight
Unfortunately, the second equation given is not clear. Please rewrite the equation so it can be answered accurately.
To graph the system of equations, we need to rewrite them in slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept.
Given system of equations:
1) y = -x + 2
2) y = (1/2)x + 8
Let's start with equation 1:
1) y = -x + 2
The slope-intercept form of equation 1 is y = -1x + 2. From this equation, we can determine that the slope is -1 and the y-intercept is 2.
Now, let's move on to equation 2:
2) y = (1/2)x + 8
The slope-intercept form of equation 2 is y = (1/2)x + 8. From this equation, we can determine that the slope is 1/2 and the y-intercept is 8.
To graph the system of equations, we will plot the y-intercept of each equation on a coordinate plane and use the slope to find additional points to draw the lines.
For equation 1:
The y-intercept is 2, so we plot the point (0, 2) on the graph. From there, we can find another point by using the slope of -1. For example, if we move one unit to the right and one unit down from (0, 2), we get the point (1, 1).
For equation 2:
The y-intercept is 8, so we plot the point (0, 8) on the graph. From there, we can find another point by using the slope of 1/2. For example, if we move two units to the right and one unit up from (0, 8), we get the point (2, 9).
Now, we can plot these points on a graph and draw the lines:
graph that represents the solutions to the given system:
```
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0 1 2 3 4 5 6 7 8 9 10 11
```
The first line represents equation 1 (y = -x + 2) and the second line represents equation 2 (y = (1/2)x + 8). The point of intersection of these lines is the solution to the system of equations.