Find the points of intersection of the graphs of the equations:
A) ,
B) ,
C) ,
D) ,
E) ,

Question

Find the points of intersection of the graphs of the equations:  
A) , 
B) , ​ 
C) , 
D) , 
E) ,

Quizplus · Accepted Answer

To find the points of intersection, we need to solve the system of equations:
y = x^2 - 4x + 3
y = 2x - 5
Setting the two equations equal to each other, we get:
x^2 - 4x + 3 = 2x - 5
Simplifying, we get:
x^2 - 6x + 8 = 0
Factoring, we get:
(x - 2)(x - 4) = 0
So, x = 2 or x = 4
Substituting these values back into either equation, we get:
If x = 2, then y = 2(2) - 5 = -1. So the first point of intersection is (2, -1).
If x = 4, then y = 2(4) - 5 = 3. So the second point of intersection is (4, 3).
Therefore, the answer is choice C, which gives the correct coordinates for both intersection points.

Find the Points of Intersection of the Graphs of the Equations