Question

Find the x- intercept and y- intercept of each equation algebraically

Answer 1

We have the following equation

`x+2y=-14`

In order to determine the x-intercept, we need to make y = 0

therefore,

`\begin{gathered} x+2\cdot0=-14 \\ x+0=-14 \\ x=-14 \end{gathered}`

so, x-int: -14

on the other hand, in order to find the y-intercept we need to evaluate y at x = 0

therefore,

`\begin{gathered} 0+2y=-14 \\ 2y=-14 \\ y=-(14)/(2) \\ y=-7 \end{gathered}`

then, y-int: -7