Question

Draw the graph of the equation 3x+5y=6​

Answer 1

Hi mate here is ur answer and the explanation...

Sorry if it's too long....

Explanation:

First, solve for two points which solve the equation and plot these points:

First Point: For y=0

3x+(5⋅0)=6

3x+0=6

3x=6

3x3=63

x=2 or (2,0)

Second Point: For y=3

3x+(5⋅3)=6

3x+15=6

3x+15−15=6−15

3x+0=−9

3x=−9

3x3=−93

x=−3 or (−3,3)

We can next plot the two points on the coordinate plane:

graph{((x-2)^2+y^2-0.035)((x+3)^2+(y-3)^2-0.035)=0 [-10, 10, -5, 5]}

Now, we can draw a straight line through the two points to graph the line:

graph{(3x+5y-6)((x-2)^2+y^2-0.035)((x+3)^2+(y-3)^2-0.035)=0 [-10, 10, -5, 5]}

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