Question

What are the x- and y-intercepts of the following Standard Form Equation:
- 2x + 5y = 0

Answer 1

X-Intercept:
`x=-(5)/(2)y`

Y-Intercept:
`y=-(2)/(5)x`

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