1. Find the equation of the line perpendicular to \(y = 2x + 3\) passing through the point \((4, 5)\).
2. Determine the equation of the perpendicular line to \(3x - 2y = 6\) that passes through the point \((-1, 2)\).
3. Given the line \(4x + 7y = 10\), what is the equation of the line perpendicular to it and passing through the point \((2, -3)\)?
4. Find the equation of the line perpendicular to \(y = -0.5x + 8\) and passing through the point \((6, 2)\).
5. Determine the equation of the perpendicular line to \(2y = 4x - 1\) that goes through the point \((3, 5)\).
6. Given the line \(x + 2y = 7\), what is the equation of the line perpendicular to it and passing through the point \((0, 4)\)?
7. Find the equation of the line perpendicular to \(2x + 3y = 9\) and passing through the point \((1, -1)\).
8. Determine the equation of the perpendicular line to \(y = 3x - 2\) that passes through the point \((5, 7)\).
9. Given the line \(5x - 2y = 6\), what is the equation of the line perpendicular to it and passing through the point \((-2, 3)\)?
10. Find the equation of the line perpendicular to \(y = 0.7x - 1\) and passing through the point \((8, -4)\).
ANSWERS
1. \(y = -\displaystyle \frac{1}{2}x + 7\)
2. \(y = \displaystyle \frac{2}{3}x + \displaystyle \frac{8}{3}\)
3. \(y = \displaystyle \frac{7}{4}x - \displaystyle \frac{26}{4}\)
4. \(y = 2x - 10\)
5. \(y = \displaystyle -\frac{1}{2}x + \frac{13}{2}\)
6. \(y = \displaystyle 2x + 4\)
7. \(y = \displaystyle \frac{3}{2}x - \displaystyle \frac{5}{2}\)
8. \(y = -\displaystyle \frac{1}{3}x + \displaystyle \frac{26}{3}\)
9. \(y = -\displaystyle \frac{2}{5}x + \displaystyle \frac{11}{5}\)
10. \(y = -\displaystyle \frac{10}{7}x + \displaystyle \frac{52}{7}\)
0 Comments