Transcript How To Find An Intersection Point

How To Find An Intersection Point
To determine where the graphs of two equations
intersect….
1. Graph and find the point of intersection
example y = 4x + 5
y = 6x + 2
Complete tables for each
y = 4x + 5
y = 6x + 2
x y
x y
0 5
0 2
1 9
1 8
2 13
2 14
How To Find An Intersection Point
Graph
How To Find An Intersection Point
OR
2. Solve using algebra by letting the right sides of the 2 equations equal each
other and solving for the x coordinate
example y = 4x + 5
y = 6x + 2
4x + 5 = 6x + 2
4x + 5 – 4x = 6x – 4x + 2
5 = 2x + 2
5 - 2 = 2x + 2 - 2
3 = 2x
3 = 2x
2 2
x = 1.5
How To Find An Intersection Point
sub that value of x into either equation and solve for y
y = 4x + 5
y = 4(1.5) + 5
y=6+5
y = 11
The intersection point is at (1.5, 11)
OR
3. Complete tables of values for each
equation until both tables are the
same.
Ex. y = 4x + 2
y = 2x + 8
x y
x y
0 2
0 8
1 6
1 10
2 8
2 12
3 14
3 14