Finding The Equation Of A Line Through 2 Points PART 2 | Graphs | Maths | FuseSchool

In this video we are going to look at how to find the equation of a straight line that passes through two given points (coordinates). You should already know that a straight line follows the y=mx+c format, where 'm' is the gradient and 'c' is the y-intercept. Start by finding the gradient either using gradient = rise / run or gradient = (y2 - y1) / (x2 - x1). This then gives you a value for the gradient 'm' so this can be substituted into the y=mx+c equation. Now the only unknown is the y-intercept 'c' so substitute in either sets of coordinates from the question in place of the 'x' and 'y' to find the unknown 'c'. You would then end up with the equation of the straight line that passes through the 2 points.

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[saadshafique]

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[Nucho_Royale]

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[actuary]

Perhaps a more efficient way of determining the equation of a line given two points is by using a method from Vedic Mathematics. Using this method, we can determine the equation of a line from two points immediately without the need to write any down besides the answer. The method is as follows: given two points (a, b) and (c, d), determine the equation of the line going through these two points. The solution is as - c)*y = (b - d)*x + method is fast and efficient. What do you think?