Question

(2,-1) and (4,0) in slope-intercept form

Answer 1

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

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 ) = (2, - 1) and (x₂, y₂ ) = (4, 0)

m =
`(0+1)/(4-2)` =
`(1)/(2)` , thus

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

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

Using (4, 0 ), then

0 = 2 + c ⇒ c = 0 - 2 = - 2

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