How to answer this ?
Straight line #y-x=7# intersects with #y-x ^ 2= -1# curve at points A and B. Find the coordinates of points A and B
Straight line
2 Answers
Explanation:
This question is asking for the points of intersection or at which points do your line and curve meet.
If you have points of intersection, that means your curve and line must meet and have the same point.
Therefore, you can let the equation of your line and curve equal to one another
(1)=(2)
Using the quadratic formula,
When
When
Below is the graph
graph{(y-x-7)(y-x^2+1)=0 [-10, 10, -5, 5]}
Explanation:
From the second equation we get
so we get
solving this equation by the quadratic formula:
so we get
and we get