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Write the equation of the line that passes through the points
(-6,6) and
(0,9). 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 $(0,9)$ . 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 two points

Full solution

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

(-6,6)

and

(0,9)

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

\newline

Answer:

Find Slope: First, we need to find the slope of the line using the two given points $(-6,6)$ and $(0,9)$ . The slope $m$ is calculated using the formula $m = \frac{y_2 - y_1}{x_2 - x_1}$ .
Calculate Slope: Using the points $(-6,6)$ and $(0,9)$ , we plug them into the slope formula: $m = \frac{9 - 6}{0 - (-6)} = \frac{3}{6} = \frac{1}{2}$ .
Write Equation: Now that we have the slope, we can use one of the points and the slope to write the equation in point-slope form. The point-slope form is $y - y_1 = m(x - x_1)$ , where $m$ is the slope and $(x_1, y_1)$ is a point on the line.
Use Point and Slope: We can use the point $(0,9)$ and the slope $\frac{1}{2}$ to write the equation. Plugging these into the point-slope form, we get $y - 9 = \left(\frac{1}{2}\right)(x - 0)$ .
Simplify Equation: Simplifying the equation, we get $y - 9 = \left(\frac{1}{2}\right)x$ . This is the equation of the line in point-slope form.

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