Work Step by Step
We are given that $f(x)=2x+3$, which is written in the slope-intercept form $y=mx+b$, where m is the slope of the line and the point (0,b) is the y-intercept of the line. Therefore, m=2 and b=3, so the line has a positive slope and has a y-intercept of (0,3). As Example 1 on pg. 153 shows, lines with a positive slope are upward slanting, which narrows our choices to Graphs A and D. However, Graph A is the only one of these two graphs that has a y-intercept of (0,3), so the correct graph is Graph A.