A line has a slope of -5/6 and a y-intercept of 5/2. Write its equation in slope-intercept form. ______

Identify Linear Equation Form: Identify the slope-intercept form of a linear equation. The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.Insert Given Values: Insert the given slope and y-intercept into the slope-intercept form. We are given the slope (m) as -5/6 and the y-intercept (b) as 5/2. Substituting these values into the slope-intercept form, we get y = (-5/6)x + (5/2).Simplify Equation: Simplify the equation if necessary. In this case, the equation y = (-5/6)x + (5/2) is already in its simplest form, so no further simplification is needed.

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A line has a slope of $-\frac{5}{6}$ and a $y$ -intercept of $\frac{5}{2}$ . Write its equation in slope-intercept form.

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Algebra 1

Slope-intercept form: write an equation

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Q. A line has a slope of

-\frac{5}{6}

and a

y

-intercept of

\frac{5}{2}

. Write its equation in slope-intercept form.

Identify Linear Equation Form: Identify the slope-intercept form of a linear equation. $\newline$ The slope-intercept form of a linear equation is $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept.
Insert Given Values: Insert the given slope and y-intercept into the slope-intercept form. $\newline$ We are given the slope $m$ as $-\frac{5}{6}$ and the y-intercept $b$ as $\frac{5}{2}$ . Substituting these values into the slope-intercept form, we get $y = \left(-\frac{5}{6}\right)x + \left(\frac{5}{2}\right)$ .
Simplify Equation: Simplify the equation if necessary. $\newline$ In this case, the equation $y = \frac{-5}{6}x + \frac{5}{2}$ is already in its simplest form, so no further simplification is needed.