plot x+2y=-6 on a graph

Question

Graph the line on a X and Y graph

Answer 1

x+2y=-6

if x=0, y=-3

if y=0, x=-6

plot (0,-3) and (-6,0) and connect the dots because two points determine a line

throw in a third point to make sure there are no mistakes

(-2,-2), (-4,-1) for good measure

Answer 2

Hi Arianna,

If you rearrange the equation to solve for y, you'll have a more traditional equation format for plotting it on a graph.

So, we start with x+2y=-6.

If we subtract x from both sides we get 2y=-x-6.

Dividing both sides by 2 gives us y=-x/2-3.

Recall that an equation in this format is y=mx+b, where m is the slope (in our case, -1/2) and b is the y-intercept (here it is -3).

You can plot this on a graphing calculator or manually plug in values for x to find y and plot your answers.

Answer 3

x+2y=-6

 

First rewrite the equation in slope intercept form. y=mx+b

y=(-1/2)x-3

m=(-1/2)

b=-3

The graph is a line that crosses the y-axis at y=-3 and has slope (-1/2).