Write an equation for a line passing through the point (4, -3) that is parallel to the line 4x + 5y = 9. Then write a second equation for a line passing through the point (4, -3) that is perpendicular to the line 4x + 5y = 9. The equation of the parallel line is []. Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation. The equation of the perpendicular line is []. Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.
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The equation of the line is in standard form \(Ax + By = C\). We can convert it to slope-intercept form \(y = mx + b\) by isolating y. The given line is \(4x + 5y = 9\). Let's isolate y: \(5y = -4x + 9\) Divide by 5: \(y = -\frac{4}{5}x + \frac{9}{5}\) So, Show more…
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