Question

find the slope and the y-intercept of the line.
y = -\frac{2}{5}x + 1
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 $y = -\frac{2}{5}x + 1$ with $y = mx + b$. The coefficient of $x$ is $m = -\frac{2}{5}$.

Step3: Identify y-intercept from the equation

In the form $y = mx + b$, the constant term is $b = 1$.

Answer:

slope: $-\frac{2}{5}$
y-intercept: $1$