Hello there! So, y = mx + b is in slope-intercept form, where m represents the slope, b represents the y-intercept, and y and x remain unfilled. First off, let's solve for the slope. The formula for slope is y2 - y1 / x2 - x1, where you subtract the first x and y coordinates from the second x and y coordinates. So it would be formed like this:
9 - 4 / 6 - (-4)
Let's subtract. 9 - 4 is 5. 6 - (-4) is 10. 5/10 is 1/2 in simplest form. The slope for this equation is 1/2. Now, let's find the y-intercept. We will find that by plugging one of the points into the equation and solving for b. The x and y coordinates will be filled in by that coordinate. Let's use (-4, 4) for this problem. We will also plug in the slope. In this case, the problem will look like this:
4 = (1/2)(-4) + b
Now, let's multiply 1/2 and -4 to get -2. Now, to get b by itself, subtract 2 to both sides to isolate the b. -2 + 2 cancels out. 4 + 2 is 6. b = 6. There. The equation of the line in slope-intercept form is y = 1/2x + 6.
Answer:
Step-by-step explanation:
By definition, the average rate of change of a function f over an interval [a,b] is given by
compute the quantity
for all the three function
Average rate of change of f:
We will simply use the table to check the values for f(3) and f(0):
Average rate of change of g:
We will use the graph to to check the values for g(3) and g(0):
Average rate of change of h:
We can plug the values in the equation to get h(3) and h(0):
And so the average rate of change is
Answer:
should be 40, because the top line is 40 and the line on the side is the same length
Step-by-step explanation:
Answer:
There is no graph.
But 1 would be a good estimate if f(-3)=1
Step-by-step explanation:
Hope this helps sorry my writing is messy
