Answer: y = 3/2x + 1
Step-by-step explanation: For a perpendicular line, take the reciprocal of "m" and reverse the sign.
- 2/3 becomes +3/2
Then substitute the y and x values of the given coordinate into the equation and solve for "b"
y = mx + b
-2 = 3/2(-2) + b
-2 = -3 + b
-2 +3 = b
+1 = b Substitute for b in y = (3/2)x + 1
From the graph we can see that in the interval [0,1] the value of y is less than 1.
In the interval [1,2] the value of y value is 2 to 4.
In the interval [2,infinity) the graph is going up, and the value of y is greater than or equal to 4.
Therefore, the graph going up after y=4 above the line.
Therefore, the minimum y-value is 4 after which the exponential function will always be greater than the linear function.
