Consider the linear function that is represented by the equation y=2x+2 and the linear function that is represented by the graph below. Which statement is correct regarding their slopes and y-intercepts?A The function that is represented by the equation has a steeper slope and a greater y-intercept. B. The function that is represented by the equation has a steeper slope, and the function that is represented by the graph has a greater y-intercept.C. The function that is represented by the graph has a steeper slope, and the function that is represented by the equation has a greater y-intercept.D. The function that is represented by the graph has a steeper slope and a greater y-intercept.
Accepted Solution
A:
The correct answer is C) the function represented by the graph has a steeper slope and the function represented by the equation has a larger y-intercept.
The equation is written in slope-intercept form, y=mx+b. m is the slope and b is the y-intercept. In this function, the slope is 2 and the y-intercept is 2.
Looking at the graph, the y-intercept is 1. Going from the y-intercept, if we go up 2, it does not go over quite 1 unit. Therefore the slope is steeper on the graph.