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1) Find the equation of the line with slope equal to 3 and passing through point (3, 4). Write the equation in slope-intercept form.

2)Find the equation of the line with m = ½ and passing through point (1, 2). Write the equation in slope intercept form.

Verified Answer :

1.\(y - y_1 = m(x - x_1)\)
   \(y - 4 = 3(x - 3)\)
   \(y - 4 = 3(x) - 3(3)\)
   \(y - 4 = 3x - 9\)
   \(y = 3x - 5\)

2.\(y - y_1 = m(x - x_1)\)
   \(y - 2 = \frac{1}{2}(x - 1)\)
   \(y - 2 = \frac{1}{2}(x) - \frac{1}{2}(1)\)
   \(y - 2 = \frac{1}{2}x - \frac{1}{2}\)
   \(y = \frac{1}{2}x + 1\frac{1}{2}\)