The correct answer is:
A) Yes, the points shown on the line would be part of y = 0.5x.
Explanation:
Looking at the graph, the line goes through (0, 0). If x=0, we have
y=0.5(0)=0.
This is the y-coordinate of the point, so it goes through this.
The equation for this line is in slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept. In this equation, m=0.5 and b=0. This means the slope is 0.5 or 1/2; since slope is rise/run, this means the line rises 1 for every horizontal increase of 2.
This means starting from (0, 0), we would go up 1 and over 2, creating the point (2, 1). Looking at the graph, the line goes through this point.
Next we would go up 1 and over 2 again, to (4, 2). Again, the line goes through this point.
We could follow all of the points on this line and they all fit.
