There is a line that includes the point (5,-3) and has a slope of 1/5. What is its equation in point-slope form? Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions. y - ______ = ______(x - ______)

Identify Point-Slope Form: Identify the point-slope form of a linear equation. Point-slope form: y - y_1 = m(x - x_1)Given Point and Slope: We have: Point: (5, -3) Slope: 1/5 What is the point-slope form of the line? Substitute 1/5 for m, 5 for x_1, and -3 for y_1 in point-slope form. y - (-3) = (1/5)(x - 5)Substitute Values: Simplify the equation by removing the parentheses around -3. y + 3 = (1/5)(x - 5)

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There is a line that includes the point $(5,-3)$ and has a slope of $\frac{1}{5}$ . What is its equation in point-slope form? $\newline$ Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions. $\newline$ $y - \underline{\quad} = \underline{\quad}(x - \underline{\quad})$

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Algebra 1

Point-slope form: write an equation

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Q. There is a line that includes the point

(5,-3)

and has a slope of

\frac{1}{5}

. What is its equation in point-slope form?

\newline

Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.

\newline

y - \underline{\quad} = \underline{\quad}(x - \underline{\quad})

Identify Point-Slope Form: Identify the point-slope form of a linear equation. $\newline$ Point-slope form: $y - y_1 = m(x - x_1)$
Given Point and Slope: We have: $\newline$ Point: $(5, -3)$ $\newline$ Slope: $\frac{1}{5}$ $\newline$ What is the point-slope form of the line? $\newline$ Substitute $\frac{1}{5}$ for $m$ , $5$ for $x_1$ , and $-3$ for $y_1$ in point-slope form. $\newline$ $y - (-3) = \left(\frac{1}{5}\right)(x - 5)$
Substitute Values: Simplify the equation by removing the parentheses around $-3$ . $\newline$ $y + 3 = \left(\frac{1}{5}\right)(x - 5)$