Question

give the slope and y-intercept for the graph of the function $f(x) = 15 - 5(4 - 3x)$. the slope is blank help (numbers) the y-intercept is blank help (numbers) submit answer next item

Explanation:

Step1: Simplify the function

First, we expand the function \( f(x)=15 - 5(4 - 3x) \). Using the distributive property \( a(b - c)=ab - ac \), we have:
\( f(x)=15-5\times4 + 5\times3x \)
\( f(x)=15 - 20+15x \)

Step2: Combine like terms

Combine the constant terms:
\( f(x)=15x+(15 - 20) \)
\( f(x)=15x - 5 \)
The slope - intercept form of a linear function is \( y = mx + b \), where \( m \) is the slope and \( b \) is the \( y \)-intercept.

Answer:

The slope is \( 15 \)
The \( y \)-intercept is \( - 5 \)