Complete the point-slope equation of the line through (6,4) and (7,2). Use exact numbers. y-2=

Find the slope: First, we need to find the slope of the line that passes through the points (6,4) and (7,2). The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. Calculation: m = (2 - 4) / (7 - 6) = -2 / 1 = -2Use point-slope form: Now that we have the slope, we can use the point-slope form of the equation of a line, which is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. We can use either of the two points given, but let's use the point (7,2) for this equation. Calculation: y - 2 = -2(x - 7)Equation in point-slope form: We have now found the point-slope equation of the line. There is no need to simplify further since the problem asks for the equation in point-slope form with exact numbers.

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

(6,4)

and

(7,2)

\newline

Use exact numbers.

\newline

y-2=

Find the slope: First, we need to find the slope of the line that passes through the points $(6,4)$ and $(7,2)$ . The slope $(m)$ is calculated using 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: $m = \frac{(2 - 4)}{(7 - 6)} = \frac{-2}{1} = -2$
Use point-slope form: Now that we have the slope, we can use the point-slope form of the equation of a line, which is $y - y_1 = m(x - x_1)$ , where $m$ is the slope and $(x_1, y_1)$ is a point on the line. We can use either of the two points given, but let's use the point $(7,2)$ for this equation. $\newline$ Calculation: $y - 2 = -2(x - 7)$
Equation in point-slope form: We have now found the point-slope equation of the line. There is no need to simplify further since the problem asks for the equation in point-slope form with exact numbers.