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Write a slope-intercept equation for a line with the given characteristics. $\newline$ $m=-8.5$ , $y$ -intercept $(0,\frac{4}{5})$

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Write inverse variation equations

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Q. Write a slope-intercept equation for a line with the given characteristics.

\newline

m=-8.5

,

y

-intercept

(0,\frac{4}{5})

Linear Equation Form: 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.
Given Slope: We are given the slope $m = -8.5$ . This will be the coefficient of $x$ in our equation.
Given Y-Intercept: We are also given the y-intercept as the point $(0, \frac{4}{5})$ . This means when $x = 0$ , $y = \frac{4}{5}$ . Therefore, $b = \frac{4}{5}$ .
Final Equation: Substitute the given slope $m$ and y-intercept $b$ into the slope-intercept form of the equation to get the final equation. $y = -8.5x + \frac{4}{5}$

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