The derivative of the function f is given by f′(x)=−3x+4 for all x, and f(−1)=6. Which of the following is an equation of the line tangent to the graph of f at x=−1 ?

The equation of the line tangent to the graph of f at x = -1 is .

Step-by-step explanation:

From Analytical Geometry we know that the tangent line is a first order polynomial, whose form is defined by:

(1)

Where:

- Independent variable, dimensionless.

- Dependent variable, dimensionless.

- Slope, dimensionless.

- Intercept, dimensionless.

The slope of the tangent line at is:

(2)

If we know that , and , then the intercept of the equation of the line is:

The equation of the line tangent to the graph of f at x = -1 is .

step-by-step explanation:

a and d