A line has a slope of 1/4 and a y-intercept of -1/2. Write its equation in slope-intercept form. ______

Identify Form: Identify the slope-intercept form of a linear 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.Insert Values: Insert the given slope and y-intercept into the slope-intercept form. We are given the slope (m) as 1/4 and the y-intercept (b) as -1/2. Substituting these values into the equation y = mx + b gives us y = (1/4)x + (-1/2).Simplify Equation: Simplify the equation if necessary. The equation y = (1/4)x - (1/2) is already in its simplest form, so no further simplification is needed.

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A line has a slope of $\frac{1}{4}$ and a $y$ -intercept of $-\frac{1}{2}$ . 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{1}{4}

and a

y

-intercept of

-\frac{1}{2}

. Write its equation in slope-intercept form.

Identify Form: Identify the slope-intercept form of a linear equation. $\newline$ 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.
Insert Values: Insert the given slope and y-intercept into the slope-intercept form. $\newline$ We are given the slope $m$ as $\frac{1}{4}$ and the y-intercept $b$ as $-\frac{1}{2}$ . Substituting these values into the equation $y = mx + b$ gives us $y = \left(\frac{1}{4}\right)x + \left(-\frac{1}{2}\right)$ .
Simplify Equation: Simplify the equation if necessary. $\newline$ The equation $y = \frac{1}{4}x - \frac{1}{2}$ is already in its simplest form, so no further simplification is needed.