Complete the point-slope equation of the line through (-9,6) and (-7,-8). Use exact numbers. y-6=

Calculate Slope: To find the point-slope form of the equation of a line, we first need to calculate the slope of the line using the two given points (-9, 6) and (-7, -8). The slope (m) is given by the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. Calculation: m = (-8 - 6) / (-7 - (-9)) = (-14) / (2) = -7Write Point-Slope Form: Now that we have the slope, we can use one of the points and the slope to write the point-slope form of the equation. The point-slope form is given by y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. We can use the point (-9, 6) for this purpose. Calculation: y - 6 = -7(x - (-9))Simplify Equation: Simplify the equation by distributing the slope -7 into the parentheses. Calculation: y - 6 = -7(x + 9)

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Math Problems

Grade 8

Write a linear equation from two points

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

(-9,6)

and

(-7,-8)

\newline

Use exact numbers.

\newline

y-6=

Calculate Slope: To find the point-slope form of the equation of a line, we first need to calculate the slope of the line using the two given points $(-9, 6)$ and $(-7, -8)$ . The slope $m$ is given by the formula $m = \frac{y_2 - y_1}{x_2 - x_1}$ , where $(x_1, y_1)$ and $(x_2, y_2)$ are the coordinates of the two points. $\newline$ Calculation: $m = \frac{-8 - 6}{-7 - (-9)} = \frac{-14}{2} = -7$
Write Point-Slope Form: Now that we have the slope, we can use one of the points and the slope to write the point-slope form of the equation. The point-slope form is given by $y - y_1 = m(x - x_1)$ , where $m$ is the slope and $(x_1, y_1)$ is a point on the line. We can use the point $(-9, 6)$ for this purpose. $\newline$ Calculation: $y - 6 = -7(x - (-9))$
Simplify Equation: Simplify the equation by distributing the slope $-7$ into the parentheses. $\newline$ Calculation: $y - 6 = -7(x + 9)$