224k views
2 votes
What is an equation of the line that passes through the points (0, 3) and (5, -3)?

1 Answer

7 votes

Answer:

y = -6/5x + 3

Explanation:

You need to find the slope of the line (m) and the y-intercept of the line (b) to fill out the easiest equation of the line formula: y = mx + b. You already know b because it was given to you in one of the points! The point where x = 0 is your y intercept, which is given as (0, 3) here, so your b = 3. For m, take the difference of the y values in the points and divide them by the difference of the x values in the points. (-3-3)/(5-0) = -6/5.

Plug your values in to get y = -6/5x + 3, and you're done!

User Jmdecombe
by
3.2k points