There is a line that includes the point (-7,-6) 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)Substitute Values: We have: Point: (-7, -6) Slope: 1/5 What is the point-slope form of the line? Substitute 1/5 for m, -7 for x_1, and -6 for y_1 in point-slope form. y - (-6) = (1/5)(x - (-7))Simplify Equation: Simplify the equation. y + 6 = (1/5)(x + 7)

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There is a line that includes the point $(-7,-6)$ 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. $\newline$ $y -$ $=$ $(x -$ __ $)$

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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

(-7,-6)

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 -

______

=

______

(x -

______

)

Identify Point-Slope Form: Identify the point-slope form of a linear equation. $\newline$ Point-slope form: $y - y_1 = m(x - x_1)$
Substitute Values: We have: $\newline$ Point: $(-7, -6)$ $\newline$ Slope: $\frac{1}{5}$ $\newline$ What is the point-slope form of the line? $\newline$ Substitute $\frac{1}{5}$ for $m$ , $-7$ for $x_1$ , and $-6$ for $y_1$ in point-slope form. $\newline$ $y - (-6) = \left(\frac{1}{5}\right)(x - (-7))$
Simplify Equation: Simplify the equation. $y + 6 = \frac{1}{5}(x + 7)$