Answer:
slope is 6/0 which is undefined
Step-by-step explanation:
The slope of the line is 2. Why? Well, see below for an explanation!
The slope of a line is found by using the formula rise/run (rise over run). This means that by starting at the initial value of the y-intercept, 3, we would count how many units away we are from the next complete point. We do so by counting from left to right, and in this case, going up and then to the right. To get from the point (0, 3) to the point (1, 5), we would move two spaces vertically along the y-axis and one space horizontally along the x-axis. Because the slope of the line is found using the formula m = rise over run, the slope would be 2/1 because we went up 2 points and to the right one. When simplifying, we will find that 2 divided by 1 equals 2. Hence, our slope is 2.
Your final answer: The slope of the line is 2/1 or 2. If you need extra help, let me know and I will gladly assist you.
We have been given the expression to be 
Since we need to find the tangent at a point, we will have to find the derivative of 
as the slope of the tangent at a given point on the curve is always equal to value of the derivative at that point.
Thus, we have to find 
We will use the product rule of derivatives to find 
Thus, 
(using the product rule which states that 
)
Taking the common factors out we get:
Thus, 
at 
is given by:
=Slope of the tangent of y at x=4=
Thus, 
Now, the equation of the tangent line which passes through 
and has slope m is given by:
Thus, the equation of the tangent line which passes through 
and has the slope 185 is
Which can be simplified to 
Thus, 
This is the required equation of the tangent.
