Point-Slope form is \(y - y_1 = m (x - x_1)\), where \(x_1\) and \(y_1\) are the given coordinate pair and m is the slope. So, the Point-Slope equations are y - 81 = \(\frac{5}{7}\) (x + 2), 2y + 32 = \(\frac{1}{9}\) (x - 4), and y + \(\frac{2}{3}\) = -\(\frac{9}{11}\) (x - 4).
Slope-Intercept form is y = mx + b, where m is the slope and b is the y-intercept, or where the line crosses the y-axis and x = 0. The Slope-Intercept equations are y = 4x + \(\frac{3}{5}\), y = -\(\frac{4}{9}\) -\(\frac{1}{2}\), y = 7x - 3, and 4y = 9x - 5.
Standard Form is ax + by = c. The Standard From equations are 3x - 17y = 51, \(\frac{1}{8}\)x + \(\frac{3}{7}y\) = 56, and 12x + 8y = -36.
