Question

The points (0, 3) and (1, 6) fall on a particular line. What is its equation in slope-intercept form?

Answer 1

Equation of line: y = 3x + 3

The slope intercept form has a general formula:

`y=mx+b`

m = slope of the line

b = y-intercept

m can be solved by doing rise/run

change in y divided by change in x

`(y_2 - y_1)/(x_2-x_1)`

• can be solved with given points (0, 3) and (1, 6)

`(6-3)/(1-0)=m`

`(3)/(1) =m`

`3 = m`

We now have y= 3x + b

• y-intercept occurs when x = 0
• looking at one of the given points (0,3)
• when x = 0, y = 3
• b = 3

equation of the line: y = 3x + 3