Question

determine the slope and the y-intercept from the equation shown. * 1 point
$y = -\frac{1}{3}x + 4$
□ m= -1/3
□ m= -1/3x
□ m= 4
□ b= 4
□ b= -1/3x
□ b= -1/3

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.

Step2: Identify slope and y - intercept from the given equation

For the equation $y=-\frac{1}{3}x + 4$, comparing it with $y = mx + b$:

• The coefficient of $x$ is the slope $m$. So, $m=-\frac{1}{3}$.
• The constant term is the y - intercept $b$. So, $b = 4$.

Answer:

The correct options are:
m = -1/3
b = 4