Answer:
a
Step-by-step explanation:
the formula of the equation is y=mx+n; and if m=1/2 and n=-1 then it's y=1/2x-1
Answer:
The statement of the fundamental theorem of calculus shows the upper limit of the integral as exactly the variable of differentiation. Using the chain rule in combination with the fundamental theorem of calculus we may find derivatives of integrals for which one or the other limit of integration is a function of the variable of differentiation.
Step-by-step explanation:
We are given two points: (4, -8) and (8, 5)
General equation of a line: y = mx + c
First find m (the gradient). There is a formula for this: (change in y)/(change in x) = gradient
(5 - -8) / (8 - 4) = (13) / (4) = 3.25 = m
y = 3.25x + c
Now we need to find c (the y-intercept; the value of y when x=0).
Substitute in any one of the coordinates - let's use (8, 5)
(5) = 3.25(8) + c
(5) = 26 + c
c = -21
The equation of the line: y = 3.25x - 21
I think that this answer is correct - sorry if it seems rushed.
Hope this answer helps :)
Answer:
See below
Step-by-step explanation:
We can simply use a graphing calculator to graph the function

See in the attached file!
Answer:
slope = 5/7
Step-by-step explanation:
Given the x-intercept: (-7, 0) and the y-intecept: (0, 5):
We can use the slope formula:

Let (x1, y1) = (-7, 0)
(x2, y2) = (0, 5)
Plug these values into the slope formula:

Therefore, the slope is 5/7