Question

Which equations and/or functions represent the graphed line? Select three options. A coordinate plane with a line passing through the points, (negative 4, 0), (negative 2, 1), (0, 2), and (2, 3). y – 3 = y minus 3 equals StartFraction one-half EndFraction left-parenthesis x minus 2 right-parenthesis.(x – 2)

Answer 1

The equations or functions that represent the graphed line are y = x + 2.

Step-by-step explanation:

The graphed line passes through the points (-4, 0), (-2, 1), (0, 2), and (2, 3). To determine the equations or functions that represent this line, we first need to find its slope and y-intercept.

The slope is the increase in y-values divided by the increase in x-values. In this case, for every increase of 1 on the horizontal axis, there is a rise of 1 on the vertical axis. So the slope is 1.

The y-intercept is the point where the line intersects the y-axis. In this case, it is the point (0, 2). Using the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept, the equation for this line is y = 1x + 2, or simply y = x + 2. So, the correct options are:

1. y = x + 2
2. y = x + 2
3. y = x + 2