y=1.2x+0.4y
A line that passes through (3,4) and (8,10)
A: the rates of change ate the same but the y-intercepts are different
B: the y intercepts are the same but the rate of change is different
C: the y intercepts are the same and the rate of change is the same
D: the y intercepts are different and the rates of change are different
To determine which answer choice is correct, let's first rearrange the given equation:
y - 0.4y = 1.2x
0.6y = 1.2x
y = 2x
Now let's find the slope of the line passing through the given points:
m = (y2 - y1) / (x2 - x1)
m = (10 - 4) / (8 - 3)
m = 6 / 5
m = 1.2
Comparing the equation y = 2x with the slope of the line passing through the points, we can see that the rate of change (slope) is different. Therefore, answer choice B: the y intercepts are the same but the rate of change is different.