Question

A line includes the points (2, 0) and (5, 6). What is its equation in slope-intercept form?

Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer 1

y = 3x - 6

Explanation:

1. Slope-intercept form is y = mx +b

2. Use the given coordinates to plug into the slope equation:
`\frac{y{2}-y{1}}{x{2}-x{1}}`

`(6-0)/(5-2)=(6)/(3)=2`

3. Now you have y = 3x + b

4. To find the y-intercept, plug in one of the coordinates to the equation you have so far. Using (2, 0):

0 = 3(2) + b

0 = 6 + b

-6 = b

5. Final answer: y = 3x - 6