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Sketch the graph-2x+3y= -1

User JC Raja
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1 Answer

22 votes
22 votes

Given the equation:


-2x+3y=-1

The given equation represents a line

To graph the line, we need two points lying on the line

We will substitute with two values for x and find the corresponding values of y

So, when x = 5


\begin{gathered} -2\cdot5+3y=-1 \\ -10+3y=-1 \\ 3y=10-1=9 \\ y=(9)/(3)=3 \end{gathered}

And when x = -4


\begin{gathered} -2\cdot-4+3y=-1 \\ 8+3y=-1 \\ 3y=-1-8=-9 \\ y=-(9)/(3)=-3 \end{gathered}

So, the line passes through the points (5, 3) and (-4, -3)

We will draw the line segment connecting the points then extend it from both sides

The graph of the equation will be as shown in the following picture

Sketch the graph-2x+3y= -1-example-1
User Jumah
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