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Write the equation of the line that passes through the points
(1,9) and
(-3,2). 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 $(1,9)$ and $(-3,2)$ . 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

(1,9)

and

(-3,2)

. 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 $m = \frac{y_2 - y_1}{x_2 - x_1}$ with the given points $(1,9)$ and $(-3,2)$ . $\newline$ $m = \frac{2 - 9}{-3 - 1}$ $\newline$ $m = \frac{-7}{-4}$ $\newline$ $m = \frac{7}{4}$
Choose point: Choose one of the points to use in the point-slope form equation. We can use either $(1,9)$ or $(-3,2)$ . Let's use $(1,9)$ .
Write equation: Write the equation of the line in point-slope form using the slope $m = \frac{7}{4}$ and the point $(1,9)$ . The point-slope form is $y - y_1 = m(x - x_1)$ . $\newline$ Substitute $m = \frac{7}{4}$ and the point $(1,9)$ into the equation: $\newline$ $y - 9 = \left(\frac{7}{4}\right)(x - 1)$
Check simplification: Check the equation to ensure it is fully simplified and in the correct form. The equation $y - 9 = \frac{7}{4}(x - 1)$ is already in the simplest point-slope form.

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