Answer:
A) Slope =
[tex]m = \frac{1}{4} x[/tex]
explanation:
Take 2 random points off the line, I used (4,1) & (8,2)
The formula to find the slope when given 2 points is
[tex]m = \frac{rise}{run} = \frac{y2 - y1}{x2 - x1} [/tex]
so in this case x1 & y1 are assigned to (4,1)
and x2 & y2 are assigned to (8,2)
so substitute the numbers into the formula and solve !
[tex] m= \frac{y2 - y1}{x2 - x1} = \frac{2 - 1}{8 - 4} = \frac{1}{4} [/tex]
this will result in the answer I got above!!
B) yes it does show a constant rate of change cause it's increasing in 1/4x intervals
C) just because you move the placement of a line on the graph doesn't mean it's going to effect the slope as long as the numbers on the axis don't change!!
