Question

How are the different types of linear equations similar and how are they different?

Answer 1

@mathmale

Answer 2

I'd suggest you begin by finding these three types of equations of straight lines and typing them out here. That'll give you something concrete to compare and contrast.

Hint: One of the types of equations of straight lines is the slope-intercept form. What are the names of the other types?

Answer 3

The slope-intercept form:
y = m x + b.
The point-slope form:
y − y1 = m (x − x1).
The general form:
a x + b y + c = 0.