Question

What are the x and y intercepts of the linear function given by the equation 2x+5y=-10

Answer 1

In order to find the x-intercept of the function, you need to evaluate the function for y = 0, so:

`\begin{gathered} 2x+5y=-10 \\ y=0 \\ 2x+5(0)=-10 \\ 2x=-10 \\ x=-(10)/(2) \\ x=-5 \end{gathered}`

So, the x-intercept is x = -5

In order to find the y-intercept of the function, you need to evaluate the function for x = 0, so:

`\begin{gathered} 2x+5y=-10 \\ x=0 \\ 2(0)+5y=-10 \\ 5y=-10 \\ y=-(10)/(5) \\ y=-2 \end{gathered}`

Therefore, the y-intercept is y = -2