The equation for line v can be written as y = -9/7x - 5. Line w, which is perpendicular to line v, includes the point (9,6). What is the equation of line w? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers. ______

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The equation for line v can be written as y = -9/7x - 5. Line w, which is perpendicular to line v, includes the point (9,6). What is the equation of line w? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.   ______

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Determine slope of line v: Determine the slope of line v. The equation of line v is given as y = -9/7x - 5. The slope (m) of a line in the form y = mx + b is the coefficient of x. Therefore, the slope of line v is -9/7.Find slope of line w: Find the slope of line w. Since line w is perpendicular to line v, its slope will be the negative reciprocal of the slope of line v. The negative reciprocal of -9/7 is 7/9.Use point-slope form: Use the point-slope form to find the equation of line w. We have the slope of line w (7/9) and a point through which it passes (9,6). The point-slope form of a line is (y - y1) = m(x - x1), where m is the slope and (x1, y1) is the point on the line. Plugging in the values, we get (y - 6) = 7/9(x - 9).Simplify to slope-intercept form: Simplify the equation to slope-intercept form. Starting with (y - 6) = 7/9(x - 9), we distribute the slope on the right side: y - 6 = 7/9 * x - 7/9 * 9 y - 6 = 7/9 * x - 7 To get y by itself, add 6 to both sides: y = 7/9 * x - 7 + 6 y = 7/9 * x - 1

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