The equation for line u can be written as y = -9/4x + 1. Line v, which is perpendicular to line u, includes the point (-3,2). What is the equation of line v? 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 u can be written as y = -9/4x + 1. Line v, which is perpendicular to line u, includes the point (-3,2). What is the equation of line v? 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 u: Determine the slope of line u. The equation of line u is given as y = -9/4x + 1. The slope (m) of a line in the slope-intercept form y = mx + b is the coefficient of x. Therefore, the slope of line u is -9/4.Find slope of line v: Find the slope of line v. Since line v is perpendicular to line u, its slope will be the negative reciprocal of the slope of line u. The negative reciprocal of -9/4 is 4/9. Therefore, the slope of line v is 4/9.Use point-slope form: Use the point-slope form to find the equation of line v. We have the slope of line v (4/9) and a point through which it passes (-3,2). 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 - 2) = 4/9(x - (-3)).Simplify equation of line v: Simplify the equation of line v. Starting with (y - 2) = 4/9(x + 3), we distribute the slope on the right side: y - 2 = 4/9 * x + 4/9 * 3 y - 2 = 4/9 * x + 4/3 Now, we add 2 to both sides to solve for y: y = 4/9 * x + 4/3 + 2Convert constant term: Convert the constant term to a common denominator and combine terms. The common denominator for 4/3 and 2 is 3. So we convert 2 to 6/3: y = 4/9 * x + 4/3 + 6/3 y = 4/9 * x + (4 + 6)/3 y = 4/9 * x + 10/3 This is the equation of line v in slope-intercept form.

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