Question

5
select the correct answer.
what is the slope of the line represented by the equation ( f(x) = -3x + 7 )?
a. -7
b. -3
c. 3
d. 7

Explanation:

Step1: Recall Slope-Intercept Form

The slope - intercept form of a linear equation is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y - intercept. In the function \(f(x)=- 3x + 7\), we can think of \(y=f(x)\), so the equation is in the form \(y=mx + b\) with \(m=-3\) and \(b = 7\).

Step2: Identify the Slope

From the slope - intercept form, the coefficient of \(x\) is the slope. In \(f(x)=-3x + 7\), the coefficient of \(x\) is \(-3\), so the slope of the line is \(-3\).

Answer:

B. -3