Question

How to write a linear equation from two points

A) Utilize matrix multiplication.
B) Apply the midpoint formula.
C) Use the point-slope form.
D) Employ the quadratic formula.

Answer 1

To write a linear equation from two points, use the point-slope form of a linear equation.

Step-by-step explanation:

In order to write a linear equation from two points, you can use the point-slope form of a linear equation. The point-slope form is given by the equation y - y1 = m(x - x1), where (x1, y1) are the coordinates of one point on the line and m is the slope of the line. Here are the steps:

1. Identify the coordinates of the two points, let's say (x1, y1) and (x2, y2).
2. Calculate the slope of the line using the formula m = (y2 - y1) / (x2 - x1).
3. Choose one of the points, let's say (x1, y1), and substitute its coordinates and the slope into the point-slope form equation.
4. Simplify the equation if needed and you will have the linear equation in the form y = mx + b.