Question

Find the x and y intercepts of the line represented by the equation: 7x + 2y + -28x intercept (?, 0)y intercept ( 0, ?)

Answer 1

We have the equation of the line:

`7x+2y=-28`

We can find the x-intercept by giving y the value 0 and solving for x:

`\begin{gathered} 7x+2\cdot0=-28 \\ 7x=-28 \\ x=-(28)/(7) \\ x=-4 \end{gathered}`

In the same way, we can find the y-intercept knowing that x=0 at that point:

`\begin{gathered} 7\cdot0+2y=-28 \\ 2y=-28 \\ y=-(28)/(2) \\ y=-14 \end{gathered}`

We can check in the graph as:

Answer:

x intercept (-4, 0)

y intercept ( 0, -14)