To write equation of a line in two-point form, simply substitute the coordinates of the given two points in the equation ( y − y 2 ) = y 2 − y 1 x 2 − x 1 ( x − x 2 ) . Example: Find the equation of a line passing through the points and . Substitute the values in ( y − y 2 ) = y 2 − y 1 x 2 − x 1 ( x − x 2 ) .
In general form they would be the same. So you can use whichever you prefer. So I'm going to say yMoreIn general form they would be the same. So you can use whichever you prefer. So I'm going to say y minus 6. Equals now my slope is up here negative eight over three times x minus X1 was 1..
Answer so this is the equation. In point slope. Form. But now let's get the answer in slopeMoreAnswer so this is the equation. In point slope. Form. But now let's get the answer in slope intercept. Form. So let's distribute the two. It's going to be 2X. And then 2 -5 that's -10.
Given two points on a line, we can write an equation for that line by finding the slope between those points, then solving for the y-intercept in the slope-intercept equation y=mx+b.