Answer:
.
Step-by-step explanation:
Use the form below
Where
is a slope
and
are the point of the line
.
So, the slope is
.
.
Happy to help:)
ASAP HW HELP if you don’t know answer don’t even comment
1 answer:
Answer:
This is the same as writing y = (1/2)x + 3
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Explanation:
Two points on the blue line are (0,3) and (2,4)
To go from the left point to the right, we go up 1 and over to the right 2.
Slope = rise/run = 1/2
Or we can use the slope formula to get the same value
m = (y2-y1)/(x2-x1)
m = (4-3)/(2-0)
m = 1/2
The y intercept is b = 3 because this is the location on the vertical y axis where the blue line crosses. This is the location (0,3).
With m = 1/2 and b = 3, we go from y = mx+b to y = (1/2)x + 3
On a piece of paper, that would look like the equation
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Answer:
x-intercept = 0.956
Step-by-step explanation:
You have the function f(x) given by:
(1)
Furthermore you have that at the point (a,f(a)) the tangent line to that point has a slope of -1.
You first derivative the function f(x):
(2)
To solve this derivative you use the following derivative formula:
For the derivative in (2) you have that b=2 and u=2x. You use the last expression in (2) and you obtain:
You equal the last result to the value of the slope of the tangent line, because the derivative of a function is also its slope.
Next, from the last equation you can calculate the value of "a", by doing x=a. Furhtermore, by applying properties of logarithms you obtain:
With this value you calculate f(a):
Next, you use the general equation of line:
for xo = a = 0.235 and yo = f(a) = 0.721:
The last is the equation of the tangent line at the point (a,f(a)).
Finally, to find the x-intercept you equal the function y to zero and calculate x:
hence, the x-intercept of the tangent line is 0.956