Find Equation of a Line (Given the coordinates) | (GMAT/GRE/CAT/Bank PO/SSC CGL) | Don't Memorise

TL;DR

The video teaches how to find the equation of a line passing through two given points using the slope-intercept form.

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

Key Insights

• ❣️ The slope of a line passing through two points can be found using the formula (y - y1) / (x - x1).
• 🏙️ The y-intercept 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 x-axis has a slope of zero and intersects the y-axis at a certain point.

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 y-intercept of the line?

Substitute the coordinates of either point into the equation y = mx + b. Solve for b to find the y-intercept.

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 y-intercept is a more precise and efficient approach.

Q: How would you find the equation of a line parallel to the y-axis and passing through a given point?

A line parallel to the y-axis has an undefined slope and does not intersect the y-axis. Its equation is in the form x = c, where c is the x-coordinate 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 y-intercept by substituting one of the points into the equation.

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