Question

Write the equation for this line in slope-intercept form

Answer 1

y =
`(2)/(3)` x - 1

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (- 3, - 3) and (x₂, y₂ ) = (3, 1) ← 2 points on the line

m =
`(1+3)/(3+3)` =
`(4)/(6)` =
`(2)/(3)` , then

y =
`(2)/(3)` x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (3, 1 ) , then

1 = 2 + c ⇒ c = 1 - 2 = - 1

y =
`(2)/(3)` x - 1 ← equation of line

Answer 2

y=x-1

Explanation: