48.7k views
5 votes
Graph each equation using x- and y- intercept -5x+y=-10 Other equation-3x-6y=12

Graph each equation using x- and y- intercept -5x+y=-10 Other equation-3x-6y=12-example-1
User Dlb
by
8.5k points

1 Answer

2 votes

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:

Graph each equation using x- and y- intercept -5x+y=-10 Other equation-3x-6y=12-example-1
Graph each equation using x- and y- intercept -5x+y=-10 Other equation-3x-6y=12-example-2
User Rammgarot
by
7.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories