A line passes through the point $$ (-6,6) $$ and has a slope of $$ \frac{4}{3} $$. Write an equation in point-slope form for this line. \begin{tabular}{|l|l|l|l|}\hline$$ \square $$ & $$ \frac{\square}{\square} $$ & $$ \square \frac{\square}{\square} $$ \ \hline & $$ imes $$ & 5 \ \hline\end{tabular}

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A line passes through the point $$ (-6,6) $$ and has a slope of $$ \frac{4}{3} $$. Write an equation in point-slope form for this line. \begin{tabular}{|l|l|l|l|}\hline$$ \square $$ & $$ \frac{\square}{\square} $$ & $$ \square \frac{\square}{\square} $$ \ \hline & $$ 	imes $$ & 5 \ \hline\end{tabular}

UpStudy AI · Accepted Answer

To write the equation of a line in point-slope form, we use the formula:

$$
y - y_1 = m(x - x_1)
$$

where $$ (x_1, y_1) $$ is a point on the line and $$ m $$ is the slope.

Given:
- The point $$ (x_1, y_1) = (-6, 6) $$
- The slope $$ m = \frac{4}{3} $$

Now, we can substitute these values into the point-slope formula:

1. Substitute $$ x_1 $$ and $$ y_1 $$:
   $$
   y - 6 = \frac{4}{3}(x - (-6))
   $$

2. Simplify the equation:
   $$
   y - 6 = \frac{4}{3}(x + 6)
   $$

Thus, the equation of the line in point-slope form is:

$$
y - 6 = \frac{4}{3}(x + 6)
$$
The equation of the line in point-slope form is $$ y - 6 = \frac{4}{3}(x + 6) $$.

A line passes through the point and has a slope of .
Write an equation in point-slope form for this line.

5

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A line passes through the point and has a slope of . Write an equation in point-slope form for this line. 5