Given that 3 is the gradient of the line with equation y = 3kx – 11, find the value of k.
Question
Given that 3 is the gradient of the line with equation y = 3kx – 11, find the value of k.
Solution
The gradient of a line in the form y = mx + c is given by the coefficient of x, which is m. In this case, the equation of the line is given as y = 3kx - 11.
Here, the gradient of the line is given as 3. This means that 3k, the coefficient of x in the equation, is equal to 3.
To find the value of k, we can set up the equation 3k = 3 and solve for k.
Dividing both sides of the equation by 3, we get:
k = 3/3 = 1.
So, the value of k is 1.
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