Question

How do you find the equation of line passing through (0,0) and (4,4)

Answer 1

y = mx

Explanation:

It depends on what form of the line that you want. Usually the slope intercept form is wanted.

y = mx + b We need to have the m (slope) and the b (the y-intercept)

The slope is the change in y over the change in x.

Ordered pairs are in the form (x,y)

(0,0) and (4,4) Have x's of 4 and 0, and y's of 4 and 0. We subtract these to find the changes in y and x.

`(4-0)/(4-0)` This is
`(4)/(4)` which is the same as 1. The slope (m) is 1.

Now we need to find the y -intercept. The y intercept is the point where x is 0 (0,b). They give us this point (0,0,) So the y -intercept is zero.

y = 1m + 0

or y =mx