Question

Find equation given two points calculator is used to find the equation of a line given:

A) Slope and y-intercept
B) Two points on the line
C) Slope and a point
D) Two intercepts

Answer 1

To find the equation of a line given two points, use the slope-intercept form of the equation: y = mx + b. Choose two points on the line, calculate the slope, and use one of the points to solve for the y-intercept.

Step-by-step explanation:

To find the equation of a line given two points, you can use the slope-intercept form of the equation: y = mx + b, where m is the slope and b is the y-intercept. Here are the steps:

1. Choose two points on the line, denoted as (x₁, y₁) and (x₂, y₂).
2. Calculate the slope, m, using the formula m = (y₂ - y₁) / (x₂ - x₁).
3. Use one of the points and the slope in the equation y = mx + b to solve for b.
4. Write the final equation using the determined slope and y-intercept.