Line Equation Given Two Points

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Select two points with known coordinates. Then enter Point 1, P1 coordinate and Point 2, P2 coordinate. Answer is automatic.

Point 1 (initial point)
( x₁ , y₁ )

Point 2 (final point)
( x₂ , y₂ )

A solved problem becomes trusted automation—saving time and accelerating decision-making.

ANSWER, X Y + = 0 ; written in general form of the equation of a line and in its simpliest form.

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ANSWER, y = x + ; written in standard form, also known as slope-intercept form. With this interactive equation you can do scenario analysis.

When temperature is 40 C, X = 40
x =
Then y =

When pressure is 6.5 psi, Y = 6.5
y =
Then x =

Find first the equation of the line. This is a simple explanation of machine learning. The computer algorithm will do automatic linear regression to discover the best fitting line equation. For human expert we only need two training points of data. The x - intercept and y - intercept and we discover the line equation. Once the line equation was discovered, it is use for prediction. Here the assumption is the behavior of ACTUAL data sets are within the confidence level with minimum error. Now you can see why learning Algebra is useful. It saves you time for doing trial and error. It also save you waste in material and labor if your analysis is about material and labor expenses.

Then you can use the discover line equation to predict the days ahead if your x - axis has a unit of measure of days. For example what if the value of x = 7.5 days then what will be the value of y ( y - axis can be anything from your dataset of observation, for example electricity consumption in kWhr).

But in real world not everything can be model by line equation or linear equation. Other complex thing can be modeled by parabolic or quadratic equation. So now you need to master also how to discover the quadratic equation because once you discovered the equation you can use it in prediction. Machine learning is doing the same thing trying to discover the equation that best describe the observed datasets. It appears that the computer is doing it by itself but in reality mathematicians, engineers, statistician, and computer scientist are working together to make a group decision if the computer algorithm is truly representing the physical or real world observation. The computer is doing the fast computation but human still decides if the result is valid , reasonable, and good enough as first iteration.

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Tutorial and Formula Reviewer

y = mx + b ; Equation of a line in slope form ---- Equation 1

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mx - y + b = 0; re-writing equation 1 in the general form Ax + By + C = 0 ----Equation 2

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slope, m = ; slope , m = (y₂ - y₁₎/ (x₂ - x₁) ---- Equation 3

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using point (x₂,y₂) and slope, m, substitutes its values in Equation 1

= * + b ; slope form ---- Equation 1

b =

Find line equation given x and y intercept

Find distance between two points

Find y2 of second point given slope of the line and one point along the line