9514 1404 393
Answer:
B (rate of change), D (y-intercept)
Step-by-step explanation:
a) The rate of change is found by solving for y. It is the x-coefficient:
4y = -x +12
y = -1/4x +3 . . . . divide by 4
The rate of change is -1/4.
__
b) The rate of change can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (10 -4)/(2 -(-2)) = 6/4 = 3/2
The rate of change is 3/2.
__
c) The rate of change can be found by counting grid squares. The line goes down 1 square for each square to the right. The rate of change is ...
m = rise/run = -1/1 = -1
The rate of change is -1.
__
d) The rate of change is 0.5, the amount paid per box.
__
Of the rates -1/4, 3/2, -1, 0.5, the largest rate of change is 3/2 in relationship B.
_____
a) The y-intercept is the constant in the slope-intercept form equation: +3.
__
b) The y-intercept can be found from the point-slope form equation using the slope we found.
y -4 = 3/2(x +2)
y = 3/2x +3 +4
y = 3/2x + 7
The y-intercept is 7.
__
c) The y-intercept is 4, where the line crosses the y-axis.
__
d) The y-intercept of a proportion is 0.
__
Of the y-intercepts 3, 7, 4, 0, the least y-intercept is 0, in relationship D.
