Find the equation of a line whose slope is -4//5 and whose y-intercept is (0,7).

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 Slope and Y-Intercept: Insert the given slope and y-intercept into the slope-intercept form. We are given the slope (m) as -4/5 and the y-intercept (b) as 7. Substituting these values into the equation y = mx + b gives us y = (-4/5)x + 7.Simplify Equation: Simplify the equation if necessary. In this case, the equation y = (-4/5)x + 7 is already in its simplest form, so no further simplification is needed.

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Find the equation of a line whose slope is $-\frac{4}{5}$ and whose $y$ -intercept is $(0,7)$ .

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Algebra 1

Slope-intercept form: write an equation

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Q. Find the equation of a line whose slope is

-\frac{4}{5}

and whose

y

-intercept is

(0,7)

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 Slope and Y-Intercept: Insert the given slope and y-intercept into the slope-intercept form. $\newline$ We are given the slope $m$ as $-\frac{4}{5}$ and the y-intercept $b$ as $7$ . Substituting these values into the equation $y = mx + b$ gives us $y = \left(-\frac{4}{5}\right)x + 7$ .
Simplify Equation: Simplify the equation if necessary. $\newline$ In this case, the equation $y = \frac{-4}{5}x + 7$ is already in its simplest form, so no further simplification is needed.