Answer:
34.35
Step-by-step explanation:
Answer:The blue line is the tangent line that passes through the point (0.75, 0.25). The point on the tangent line is (3, 4). The gradient of the curve is approximately 0.6. Note: Parallel lines have the same gradient.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Th average rate of change is the slope of the secant line that goes through those 2 values of x. Of course, each value of x also has a value of y. The coordinates for these combinations of x's and y's are:
(-1, 5) and (4, 0). We can use the slope formula to find the average rate of change of this function without having to know what the function's equation is:

So the average rate of change, aka slope, between those 2 points is -1
For this case we have that by definition, the equation of a line in the slope-intersection form is:

Where:
m: It is the slope
b: It is the cut point with the y axis
The slope is: 
Thus, the equation is of the form:

We substitute the given point and find "b":

Finally, the equation is:

Answer:
