Question

give the slope and y-intercept of the line whose equation is given. then graph the linear function.
$f(x)=\frac{3}{4}x - 1$
select the correct choice below and, if necessary, fill in the answer box to complete your choice.
\\(\bigcirc\\) a. the slope is \\(\square\\).
(simplify your answer. type an integer or
a fraction.)
\\(\bigcirc\\) b. the slope is undefined.

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. The given function is \(f(x)=\frac{3}{4}x - 1\), and we can think of \(y=f(x)\), so the equation is in the form \(y=mx + b\) with \(m=\frac{3}{4}\) and \(b=- 1\).

Step2: Determine the slope

Comparing \(f(x)=\frac{3}{4}x-1\) with \(y = mx + b\), the coefficient of \(x\) is the slope. So the slope \(m=\frac{3}{4}\).

Answer:

A. The slope is \(\frac{3}{4}\)