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# How do I find the equation of a line on a graph using the equation y=mx+c?

To find an equation of a line you must know it’s gradient (how steep the line is) to do this you use the formula Y2-Y1/X2-X1 or change in y divided by change in X =gradient to find the y intercept you use the formula y-y1=m(x-x1) this might look confusing but carry on reading so all you do is substitute the values in the formula m= gradient rearranging into y=mx+c

Fowzi Begum
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4.2k students helped

The general form of a straight line equation is y = mx + c, where m is the gradient, c is the y-intercept and x and y are the coordinates of any given point. To determine if a point lies of a straight line graph, the x-coordinate would need to be substituted into the line equation. If the value of y obtained is the same as that of the y-coordinate then the point would lie on the straight line. However, if the y value obtained is different to that of the y-coordinate then we can conclude that the point does not lie on the line. I hope this answers your question.

Shanice St John
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882 students helped

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