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Write the equation of the line that passes through the points
(5,9) and
(-2,-8). 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 $(5,9)$ and $(-2,-8)$ . 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

(5,9)

and

(-2,-8)

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

\newline

Answer:

Calculate Slope: Given points: $\newline$ $(5, 9)$ and $\newline$ $(-2, -8)$ $\newline$ Find the slope of the line using the points. $\newline$ Slope, $m$ $\newline$ $= (y_2 - y_1)/(x_2 - x_1)$ $\newline$ $= (-8 - 9)/(-2 - 5)$ $\newline$ $= -17 / -7$ $\newline$ $= 17 / 7$ $\newline$ So, $m = 17/7$
Choose Point: Choose one of the given points to use in the point-slope form equation. We can use either point, but for this example, let's use the point $(5, 9)$ . The point-slope form of a line is $y - y_1 = m(x - x_1)$ , where $m$ is the slope and $(x_1, y_1)$ is a point on the line.
Substitute into Equation: Substitute the slope $m = \frac{17}{7}$ and the point $(5, 9)$ into the point-slope form equation. $y - 9 = \left(\frac{17}{7}\right)(x - 5)$ This is the equation of the line in point-slope form.

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