The equation for line c can be written as y = 3/4x - 2. Line d, which is perpendicular to line c, includes the point (6,-3). What is the equation of line d? 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 c can be written as y = 3/4x - 2. Line d, which is perpendicular to line c, includes the point (6,-3). What is the equation of line d? 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 c: Determine the slope of line c. The equation of line c is given as y = 3/4x - 2. The slope (m) of a line in the slope-intercept form y = mx + b is the coefficient of x. Therefore, the slope of line c is 3/4.Find slope of line d: Find the slope of line d, which is perpendicular to line c. The slope of lines that are perpendicular to each other are opposite reciprocals. The opposite reciprocal of 3/4 is -4/3. Therefore, the slope of line d is -4/3.Use point-slope form: Use the point-slope form to find the equation of line d. We have the slope of line d (-4/3) and a point that line d passes through (6,-3). 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 - (-3)) = -4/3(x - 6).Simplify equation to slope-intercept form: Simplify the equation of line d to slope-intercept form. Starting with (y + 3) = -4/3(x - 6), distribute the slope on the right side: y + 3 = -4/3 * x + 4/3 * 6 y + 3 = -4/3 * x + 8 Now, subtract 3 from both sides to solve for y: y = -4/3 * x + 8 - 3 y = -4/3 * x + 5

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