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.
a. the slope is $\frac{3}{4}$.
(simplify your answer. type an integer or a fraction.)
b. the slope is undefined.
select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. the y-intercept is $\square$.
(simplify your answer. type an integer or a fraction.)
b. there is no y-intercept.

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 rewrite \(y=f(x)\), so the equation is \(y=\frac{3}{4}x-1\).

Step2: Identify the \(y\) - intercept

Comparing \(y=\frac{3}{4}x - 1\) with \(y = mx + b\), we can see that \(b=- 1\). So the \(y\) - intercept is \(-1\).

Answer:

The \(y\) - intercept is \(-1\).