Calculus 10th Edition

a) a = 0 or -$\frac{a}{b}$ = 0. b) b = 0. c) a = -5, b = 8 d) a = 5, b = 2 e) a = $\frac{5}{2}$ and b = $3}$
Writing equation in slope intercept form: ax + by = 4 y = -$\frac{a}{b}$x + $\frac{4}{b}$ a) line will be parallel to x axis if it's slope is 0 So, -$\frac{a}{b}$ = 0 or a = 0. b) line will be parallel to y axis if it's slope is undefined i.e. -$\frac{a}{0}$ = undefined b = 0. c) if we put a = -5 and b = 8 -5x + 8y = 4 slope intercept form: y = $\frac{5}{8}$x + $\frac{1}{2}$ d) line perpendicular to y = $\frac{2}{5}$x +3 will have slope -$\frac{5}{2}$ if we put a = 5 and b = 2, we get: 5x + 2y = 4 slope intercept form y = -$\frac{5}{2}$x +2 which has slope of -$\frac{5}{2}$ e) if we put a = $\frac{5}{2}$ and b = $3$ $\frac{5}{2}$x + $\frac{6}{2}$y = 4 5x + 6y = 8