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Complete the point-slope equation of the line through
(-8,-8) and
(-7,9).
Use exact numbers.

y-9=

Complete the point-slope equation of the line through $(-8,-8)$ and $(-7,9)$ . Use exact numbers. $\newline$ $y-9=$

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Write a linear equation from two points

Full solution

Q. Complete the point-slope equation of the line through

(-8,-8)

and

(-7,9)

. Use exact numbers.

\newline

y-9=

Calculate slope using given points: Calculate the slope of the line using the given points $(-8, -8)$ and $(-7, 9)$ . $\newline$ Slope $m$ = $\frac{y_2 - y_1}{x_2 - x_1}$ = $\frac{9 - (-8)}{-7 - (-8)}$ = $\frac{17}{1}$ = $17$ .
Write point-slope form of equation: Use the slope and one of the points to write the point-slope form of the equation. We can use the point $(-7, 9)$ . $\newline$ 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. $\newline$ Substitute $m = 17$ and the point $(-7, 9)$ into the equation: $y - 9 = 17(x - (-7))$ .
Simplify equation: Simplify the equation by distributing the slope and combining like terms. $\newline$ $y - 9 = 17(x + 7).$ $\newline$ This is the point-slope form of the equation with the given slope and point.

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