Find x-intercept and y-intercept of line: 5x+8y=-14

5x+8y=-14

8y = - 5x - 14

y = - 5/8 x - 14/8

y-intercept when x = 0 so y = - 14/8 = - 7/4

x-intercept when y = 0 so

-5/8 x - 14/8 = 0

-5/8 x = 14/8

x = 14/8 * (-8/5)

x = - 14/5

answer:

y-intercept (0, - 7/4)

x-intercept (-14/5, 0)