Draw the graph of the equation \[y = 3x\]
Answer
604.5k+ views
Hint:Take a graph of scale 1 or 2 and try to draw this, first of all, check for some value like what will be the value of y when the value of x is 0, 1 or -1 take some more figure if you want.
Complete step by step answer:
Let us try to draw a take to optimize the change of the value of y in terms of x
Now plot the points (0,0), (1,3), (-1,3) you may take more points if you want but these 3 points will be sufficient enough to draw a graph.
The graph will somehow look like
The Graph will be a straight line like this one.
It was a linear equation which means that the figure will only cut the x-axis once. If it would have been a quadratic equation it will be a curve which will cut the x-axis twice for cubic also it will be a curve cutting the x-axis thrice and so on.
Note:
It must be noted that only linear equations produce straight line all the other degree polynomials will give different types of curves depending on how many times they are intersecting on the axes.
Complete step by step answer:
Let us try to draw a take to optimize the change of the value of y in terms of x
| x | 0 | -1 | 1 | 2 | -2 |
| y | 0 | -3 | 3 | 6 | -6 |
Now plot the points (0,0), (1,3), (-1,3) you may take more points if you want but these 3 points will be sufficient enough to draw a graph.
The graph will somehow look like
The Graph will be a straight line like this one.
It was a linear equation which means that the figure will only cut the x-axis once. If it would have been a quadratic equation it will be a curve which will cut the x-axis twice for cubic also it will be a curve cutting the x-axis thrice and so on.
Note:
It must be noted that only linear equations produce straight line all the other degree polynomials will give different types of curves depending on how many times they are intersecting on the axes.
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