The gradient of y=-4x+9 is -4. The gradient of a line is the measure of its steepness.
It is calculated by taking the derivative of the line. When taking the derivative of a linear equation, the derivative is the coefficient of the variable (x). In this case, the coefficient of x is -4. Therefore, the gradient of y=-4x+9 is -4.
To calculate this gradient, we need to use the power rule of derivatives. This rule states that if y = ax^n, then the derivative of y is nax^(n-1). In this case, a=-4 and n=1. Therefore, the derivative of y=-4x+9 is -4*1^(1-1), which simplifies to -4.
To calculate the gradient of y=-4x+9, we applied the power rule of derivatives. The coefficient of x in this equation was -4, so the derivative of y was -4. Therefore, the gradient of y=-4x+9 is -4.
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