Find Equation of a Line (Given the coordinates)  (GMAT/GRE/CAT/Bank PO/SSC CGL)  Don't Memorise  Summary and Q&A
TL;DR
The video teaches how to find the equation of a line passing through two given points using the slopeintercept form.
Key Insights
 ❣️ The slope of a line passing through two points can be found using the formula (y  y1) / (x  x1).
 🏙️ The yintercept of the line can be determined by substituting the coordinates of one of the points into the equation y = mx + b.
 Graphing the line on a coordinate plane helps visualize its position and slope.
 ❣️ A line parallel to the xaxis has a slope of zero and intersects the yaxis at a certain point.
Transcript
given the coordinates of two points how do we find the equation of the line passing through them we have been given the coordinates of A and B here how do we find the equation of the line passing through A and B in the previous session we have seen the slope intercept form Y is = to mx + b m is the slope and B is the y intercept to find the equatio... Read More
Questions & Answers
Q: How do you find the slope of a line passing through two given points?
To find the slope, use the formula (y  y1) / (x  x1), where (x, y) and (x1, y1) are the coordinates of the two points.
Q: How do you find the yintercept of the line?
Substitute the coordinates of either point into the equation y = mx + b. Solve for b to find the yintercept.
Q: Can the equation of a line passing through two points be found by plotting the points and drawing a line?
Yes, plotting the points and drawing a line is an alternative method to finding the equation, but calculating the slope and yintercept is a more precise and efficient approach.
Q: How would you find the equation of a line parallel to the yaxis and passing through a given point?
A line parallel to the yaxis has an undefined slope and does not intersect the yaxis. Its equation is in the form x = c, where c is the xcoordinate of the given point.
Summary & Key Takeaways

The video explains how to find the slope of a line passing through two given points using the formula (y  y1) / (x  x1).

It then demonstrates how to find the yintercept by substituting one of the points into the equation.

The video also shows how to graph the line on a coordinate plane.