No.156 Equations and an Exact Intersection from a Graph
POINT
First find the equation of each line from the graph. Then solve the two equations as a system to find the exact intersection.
Example
The graph shows lines A and B. Find the equation of each line, then use a system of equations to find the exact coordinates of their intersection.
Find both equations and the exact intersection.
A: \(y=2x+1\)
B: \(y=-x+3\)
Intersection: \(\left(\frac23,\frac73\right)\)
B: \(y=-x+3\)
Intersection: \(\left(\frac23,\frac73\right)\)
TRY
TRY 1
From the graph, find the equation of each line A and B. Then solve the system to find the exact coordinates of the intersection.
A: \(y=3x-1\)
B: \(y=-x+4\)
Intersection: \(\left(\frac54,\frac{11}{4}\right)\)
B: \(y=-x+4\)
Intersection: \(\left(\frac54,\frac{11}{4}\right)\)
TRY 2
From the graph, find the equation of each line A and B. Then solve the system to find the exact coordinates of the intersection.
A: \(y=\frac12x+2\)
B: \(y=-x+5\)
Intersection: \((2,3)\)
B: \(y=-x+5\)
Intersection: \((2,3)\)