Question

find the slope and the y-intercept of the line.
y = -\frac{1}{5}x + 5
slope:
y -intercept:

Explanation:

Step1: Recall slope-intercept form

The slope-intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the $y$-intercept.

Step2: Identify slope from the equation

Compare $y = -\frac{1}{5}x + 5$ with $y = mx + b$. The coefficient of $x$ is $m = -\frac{1}{5}$.

Step3: Identify y-intercept from the equation

The constant term in the equation is $b = 5$, which is the $y$-intercept.

Answer:

slope: $-\frac{1}{5}$
y-intercept: $5$