a line has a slope of $-\\frac{4}{5}$ and a $y$-intercept of $\\frac{6}{5}$. write its equation in…

Explanation:

Step1: Identify the slope-intercept form equation

The slope-intercept form of a linear equation is given by: $$y = mx + b$$ where $m$ is the slope and $b$ is the $y$-intercept.

Step2: Identify the given values

From the problem, the slope $m$ and the $y$-intercept $b$ are: $$m = -\frac{4}{5}, \quad b = \frac{6}{5}$$

Step3: Substitute the values into the equation

Substitute $m$ and $b$ into the slope-intercept formula: $$y = -\frac{4}{5}x + \frac{6}{5}$$

Answer:

y = -\frac{4}{5}x + \frac{6}{5}