0
This is not a curve, but a line. It's slope will always be the same then, and it does not have tangent.
You can find it's rate of change easily enough though, that being it's slope. In this case, you can rewrite the equation as:
y = 13 - 2x
And you can see that it has a slope of negative two. This can be demonstrated as well by taking it's derivative:
y = 13 - 2 * x1
∴ y' = -2 * 1 * x1 - 1
∴ y' = -2 * 1 * x0
∴ y' = -2 * 1* 1
∴ y' = -2
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What is the value of k when y equals 3x plus 1 and is a line tangent to the curve of x squared plus y squared equals k?
k = 0.1
What is the value of y when y equals 2x plus 1.25 is a tangent to the curve y squared equals 10x?
If the line y = 2x+1.25 is a tangent to the curve y^2 = 10x then it works out that when x = 5/8 then y = 5/2
What is the value of k when the straight y equals 3x-1 is a tangent to the curve x squared plus y squared equals k?
2
What are the possible value of k when the line y equals x plus k is a tangent to the circle x squared plus y squared equals 25?
They are +/- 5*sqrt(2)
What are the possible values of k in the line y equals kx -2 which is tangent to the curve y equals x squared -8x plus 7?
The possible values for k are -2 and -14 because in order for the line to be tangent to the curve the discriminant must be equal to 0 as follows:- -2x-2 = x2-8x+7 => 6-x2-9 = 0 -14x-2 = x2-8x+7 => -6-x2-9 = 0 Discriminant: 62-4*-1*-9 = 0
