SOLUTION: Graph the equation 2x + y = 9

Question 149956: Graph the equation
2x + y = 9

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Subtract from both sides.

Rearrange the terms.

Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is

Since this tells us that the y-intercept is

.Remember the y-intercept is the point where the graph intersects with the y-axis

So we have one point

Now since the slope is comprised of the "rise" over the "run" this means

Also, because the slope is , this means:

which shows us that the rise is -2 and the run is 1. This means that to go from point to point, we can go down 2 and over 1

So starting at

, go down 2 units

and to the right 1 unit to get to the next point

Now draw a line through these points to graph

So this is the graph of through the points

and

RELATED QUESTIONS
graph of y=2x +4. Then graph the equation to check your answer... (answered by oberobic)

graph the equation... (answered by Nate)

graph the equation... (answered by Fombitz)

graph the equation. 2x-3y+9=0 graph the equation. 2x-3y+9=0 -3y+2x = -9 -3y =... (answered by chiexpert)

Graph the equation.... (answered by Fombitz)

graph the inequality... (answered by jim_thompson5910)

Graph y = -9/2x - 9 (answered by EdenWolf)

What is the vertex of the graph for the equation... (answered by stanbon,Nate)

what is the minimum point of the graph of the equation... (answered by MathLover1)