Question

Graph each equation using x- and y- intercept -5x+y=-10 Other equation-3x-6y=12

Answer 1

10) We have to calculate the x and y intercepts for the line and graph the line:

`-5x+y=-10`

The x-intercept corresponds to the point where y = 0, so we can calculate it as:

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

The y-intercept corresponds to the point where x = 0, so we can calculate it as:

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

With the intercepts, we have two points: (2,0) and (0,-10) and we can use them to graph as:

11) We have to calculate the x and y intercepts for the line and graph the line:

`-3x-6y=12`

The x-intercept is:

`\begin{gathered} -3x-6(0)=12 \\ -3x=12 \\ x=(12)/(-3) \\ x=-4 \end{gathered}`

The y-intercept is:

`\begin{gathered} -3(0)-6y=12 \\ -6y=12 \\ y=(12)/(-6) \\ y=-2 \end{gathered}`

Then, knowing the intercepts, we know the points (-4,0) and (0,-2) and we can graph the line as: