How do I find the points of intersection of y=x and 1/x?

Answer 1

y=x,
y=1/x

point of intersection lies on both curves hence can be found by just solving the equations
x=1/x
x^2=1
x=+-1
y=+-1
point of intersection are(1,1)and(-1,-1)

Answer 2

points of intersection can be found either by substituting the equations into each other or by drawing the line

ok so the point of intersection is
x^2 = 1
x = 1
and y =1

Answer 3

so, we have two functions: y1=x, y2=1/x
for the two curves to intersect, the two functions need to have the same y for the same x, so that means:
y1(x)=y2(x) => x=1/x => x^2=1 => x=+1 or x=-1

now, for the y-coordinate, either function will give y=+1 or y=-1 respectively.

Therefore, the two intersection points are A(1,1) and B(-1,-1)

Answer 4

x = 1 / x
x² = 1
x = ± 1
Points of intersection are (1 , 1) and (-1, -1)

Answer 5

y=x y=1/x
x=1/x
x^2=1
x=+-1
x=1 , x=-1