Answer:
X-Intercept: [tex]x=-\frac{5}{2}y[/tex]
Y-Intercept: [tex]y=-\frac{2}{5}x[/tex]
Step-by-step explanation:
X-Intercept-
2x+5y=0 - Move the variable to the right-hand side and change its sign
2x=-5y - Divide both side of the equation by 2
x=-5/27 - Write the solution x in parametric form
x=-5/2y, y∈R
Y-Intercept-
2x+5y=0 - Move the variable to the right hand side and change its sign
5y=-2x Divide both sides of the equation by 5
y=-2/5x Write the solution y in parametric form
y=-2/5x, x∈R