According to the following graph, the equations y=x+7 and y=x²+4 will intercept 2 times at the points (-1.3, 5.7) and (2.3, 9.3).
Intercept:
The point where the line or curve crosses the axis of the graph is known as intercept.
That is, if a point crosses the x-axis, then it is known as the x-intercept. Similarly, if a point crosses the y-axis, then it is called as the y-intercept.
Given,
Here we have the equation y=x+7 and y=x²+4.
Now, we need to find the number of times the equation is intercepts.
First, we have to plot the graph for the given equations,
Then based on that one we have easily identify the intercepting points in order to get the results.
In the following graph, the blue line represents the equation y=x²+4 and the red line represents the equation y = x + 7.
While we looking into the graph we have identified that the two lines are intersecting at two point they are (-1.3, 5.7) and (2.3, 9.3).
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