Who am I?
Hey! I'm Neha, a third-year medical student at the University of Birmingham. I have loved maths and sciences all my life and I am looking to tutor students in these subjects to share my passion and help them to achieve the best grade they can! Having been a subject mentor at college, I have experience in tutoring students and really enjoy imparting my knowledge to others.
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|Biology||A Level||£24 /hr|
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The y=mx+c equation is for a straight line (also known as 'linear') graph.
The 'y' is representative of the y-value, 'm' represents the gradient (how steep the graph is) and 'c' represents the y-intercept (where the graph cuts the y-axis).
To do this by the table method, lets take the following example:
Qu: Draw the graph of y=3x+4 for values of x between -3 and 3
We would draw a table as follows:
x: -3 -2 -1 0 1 2 3
3x: -9 -6 -3 0 3 6 9
+4: +4 +4 +4 +4 +4 +4 +4
y: -5 -2 -1 4 7 10 13
The first thing you do is write down the x-values for which the graph needs to be drawn (as specified in the qu, these are between -3 and 3)
You then put the 'mx' part of the equation in the next row. In our equation, m has the value of 3, so you write 3x (which algrebraically means 3 multiplied by x). Therefore, you multiple each x-value by 3, e.g -3x3=-9, -2x3=-6 etc. and write these values in.
You then put the +c part of the equation in the row below. In our equation, c has the value of 4, so you put +4 along the whole row.
You then work out the y-value by adding the 2 rows above. Eg. For the value of x=-3, y=-9+4 which is equal to -5. Therefore, when x is -3, y is -5 - the coordinates would be (-3, -5). You do this for every value, which will give you a series of coordinates.
You can then plot these coordinates on a graph and join them up to form your line graph!