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Write the equation of the line that passes through the points
(6,6) and
(-5,-5). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
Answer:

Write the equation of the line that passes through the points $(6,6)$ and $(-5,-5)$ . Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line. $\newline$ Answer:

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Write a linear equation from a slope and y-intercept

Full solution

Q. Write the equation of the line that passes through the points

(6,6)

and

(-5,-5)

. Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.

\newline

Answer:

Calculate slope: Calculate the slope $m$ of the line using the formula $m = \frac{y_2 - y_1}{x_2 - x_1}$ . Using the points $(6,6)$ and $(-5,-5)$ , we have: $m = \frac{-5 - 6}{-5 - 6} = \frac{-11}{-11} = 1$
Choose point: Choose one of the points to use in the point-slope form equation. We can use either $(6,6)$ or $(-5,-5)$ . Let's use $(6,6)$ .
Write equation: Write the point-slope form equation using the slope from Step $1$ and the point from Step $2$ . $\newline$ The point-slope form is $y - y_1 = m(x - x_1)$ . $\newline$ Substituting the slope $m = 1$ and the point $(6,6)$ , we get: $\newline$ $y - 6 = 1(x - 6)$
Simplify equation: Simplify the equation if necessary. In this case, the equation is already in the simplest form. $y - 6 = 1(x - 6)$

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