What is the solution to the system of equations graphed below?
1 answer:
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Answer:
We have the equation:
x - y = 4
We can write this as a linear equation in the slope-intercept form if we isolate the variable y.
We get:
y = x - 4
Now to graph this function, we need to evaluate x in two different points and get two points (x, y) of the line.
If we use x = 1 and x = 2, then we get:
y(1) = 1 - 4 = - 3
Then we have the point (1, -3)
and:
y(2) = 2 - 4 = - 2
Then we have the point (2, - 4)
Now we need to draw these two points in the coordinate axis, and draw a line that connects the points, the example can be seen in the image below.
a) To use the graph, we need to locate the value x= 7 in the x-axis.
Then draw a vertical line
In the point where the vertical line intersects the graph, we draw an horizontal line.
The y-value will be the value at which this horizontal line intersects the y-axis
In this case, is at y = 3.
Then when x = 7, y = 3.
(you can see it in the graph)
ii) The coordinate at which the graph intersects the x-axis can be seen in the graph, it is the point (0, 4)
