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A line with a slope of $-3$ passes through the point $(-6,6)$ . 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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Point-slope form: write an equation

Full solution

Q. A line with a slope of

-3

passes through the point

(-6,6)

. 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: $(-6, 6)$ $\newline$ Slope: $-3$ $\newline$ What is the point-slope form of the line? $\newline$ Substitute $-3$ for $m$ , $-6$ for $x_1$ , and $6$ for $y_1$ in point-slope form. $\newline$ $y - 6 = -3(x - (-6))$
Substitute Values: Simplify the equation. $\newline$ $y - 6 = -3(x + 6)$

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