How would you graph 4x+3y=6?
How can I graph the equation 4x + 3y = 6? I would appreciate guidance on the steps involved in rearranging the equation, determining key points, and effectively plotting it on a coordinate plane. Any tips for visualizing the graph would also be helpful!
5 Answers
First, subtract 4x from both sides–> 3y=-4x+6
Then, divide both sides by three–> y=(-4x+6)/3 –> y=-4/3x+2
2=b, the y-axis intercept, so make your starting point at (0,2), and then the slope is -4/3, i.e. the rise is -4 and the run is 3, so for every four spaces you move down from any point on the line (use the starting point to make the graph), move 3 spaces to the right. Hope that helps :]
First, make y as subject of the formula
4x + 3y = 6
3y = 6 – 4x
y = (6 – 4x)/ 3
y = 2 – 4x/3
y = -4/3x + 2
Straight line is y = mx+c
m = -4/3
c = 2
So, it is a straight line graph. You can plot a graph with some points given.
Jan 21, 2025
first, get it in the form y=mX+c by making y the subject
4x+3y=6
3y=6-4x
y=(6-4x)/3
Choose values for x and then using those values, find the corresponding ‘y’ values and plot the graph of a straight line.
you would graph it as :
y= 2- 4/3x
or y= -4/3x + 2
b/c you have to solve for y
then graph
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