Answer:
- Note: The steeper the line, the greater the slope.
First, we would need to find the slope for all equations.
Given points, (0,4) and (8,11), we use the formula:
y2 - y1
_____
x2 - x1
Replace values;
11 - 4 7
____ = ____, 7/8 is the slope for function A.
8 - 0 8
Now on the graph for function, B:
Select any two random points, and apply the formula we used for function A(unless you can eye the slope, but double check in case.)
Two random points on this graph, (0,0) and (1, -4)
y2 - y1
______
x2 - x1
Replace values;
-4 - 0 -4
_____ = _____, = -4/1 is the slope for function B.
1 - 0 1
Now, for function C, it is already formatted in slope intercept form, so it's easy to figure out the slope;
(y = mx + b), our equation → y = -3/4x + 5/4
(I'm going to define these variables for you)
y = independent variable
x = dependent variable
y depends on x
m = slope(rise/run)
b = y-intercept(where the line meets the y-axis)
Now, since I defined these for you, we can see that -3/4 is the slope for function C.
Now, let's order these.
-4 by far, is the least slope.
-3/4, is the second least slope.
And last but not least, is 7/8 which is our greatest slope
So it'll be ordered:
Function A
Function C
Function B