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