What is the equation of the line with an x-intercept of -2 and a y-intercept of 1

y = 2x + 1

Step-by-step explanation:

This line goes through the points (-2, 0) (the x-intercept) and (0, 1) (the y-intercept).

As we move from -2 to 0, x increases by 2, and at the same time y increases from 0 to 1, that is, by 1.  Thus, the slope of this line is m  = rise / run = 2/1 = 2.

Starting with the slope-intercept formula for a straight line:

y = mx + b becomes y = 2x + 1.    (We had already found b.)

The graphs are reflections of each other over the y-axis. The graph of g(x) shows exponential decay, while the graph of f(x) shows exponential growth.  

Step-by-step explanation: