The given equation is expressed as
5x - 9 = - 8y - 3
Rearranging the equation, it becomes
8y = - 3 + 9 - 5x
8y = 6 - 5x
The x intercept is the value of x when y = 0. Substituting y = 0 into the equation, we have
0 * 8 = 6 - 5x
0 = 6 - 5x
5x = 6
x = 6/5
The x intercept is 6/5
The y intercept is the value of y when x = 0. Substituting x = 0 into the equation, we have
8y = 6 - 5 * 0
8y = 6
y = 6/8
y = 3/4
X intercept = 6/5
y intervept = 3/4