Question

Equation of a line given two points calculator.

A) Slope-intercept form
B) Point-slope form
C) General form
D) Intercept form

Answer 1

The equation of a line can be found using different forms based on the given information such as slope, y-intercept, and points on the line.

Step-by-step explanation:

The equation of a line given two points can be determined using different forms:

1. Slope-intercept form: y = mx + b, where m represents the slope and b represents the y-intercept. This form is useful when you know the slope and y-intercept of the line.
2. Point-slope form: (y - y₁) = m(x - x₁), where m represents the slope and (x₁, y₁) represents one of the given points on the line. This form is useful when you know the slope and one point on the line.
3. General form: Ax + By = C, where A, B, and C are constants. This form is useful when you don't have the slope and need to find the equation of the line.
4. Intercept form: x/a + y/b = 1, where a and b are the x-intercept and y-intercept respectively. This form is useful when you know the x-intercept and y-intercept.