How to Find the Equation of a Line from Two Points Find the slope using the slope formula. Use the slope and one of the points to solve for the y-intercept (b). Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.
Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points. Created by Sal KhanandCK-12 Foundation.
To compute the equation of the line passing through points (x1, y1) and (x2, y2): Compute the slope as a = (y2-y1) / (x2-x1). Compute the intercept as b = y1 - a × x1. The equation you need reads y = a × x + b, with a an b computed as above.
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..
If given two points, first find the slope (m) of the line that contains the points. Then write an equation in slope-intercept form (y=mx+b) and substitute in the x and y values for one of the points to find the y-intercept (b). Then convert to standard form (Ax+By=C) by subtracting the (mx) term from each side.
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.
But we could find a slope since we're given the two points. And we could use this formula m is equalMoreBut we could find a slope since we're given the two points. And we could use this formula m is equal to Y2 over y1. I mean Y2 minus y1 over X2 minus X1.
One this is going to help us to find the equation of the line. So all we need is the slope m. AndMoreOne this is going to help us to find the equation of the line. So all we need is the slope m. And just one of the two. Points. You could use x1 y1 or x2 y2.
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..
We can easily just plug write them into the equation of the slope. Formula. So the slope formula.MoreWe can easily just plug write them into the equation of the slope. Formula. So the slope formula. Remember is M = Y2 - y1 over X2 - X1. So therefore let's just go and figure this out here real quick.