Answer:
k=16
Step-by-step explanation:
So the tangent line is
and it tangent to function
Since the slope of the tangent line is 4, this means the derivative of f(x) is 4 but first let find the derivative of
Use the Sum Rule,
Use the Power Rule and we get
Set this equal to 4
So at x=-2, the slope of the tangent line is 4.
Plug -2 in the orginal function, and we get
So the point must pass through -2,8 with a slope of 4.
So the value of k is 16.
Answer:
The answer is
<h2>Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation we must first find the slope of the line.
So the slope of the line using points (-3, 7) and (9,-1) is
<h3>Now we use the formula
<h3>y - y1 = m(x - x1)</h3>where
m is the slope
( x1 , y1) is any of the points given
So the equation of the line using point
( - 3 , 7) and slope - 2/3 is
<h3>We have the final answer as
<h3>Hope this helps you
