Question

How to figure out the Y-intercept of (-2, 2) and (2, 4)

Answer 1

y - intercept =

Explanation:

to find the y- intercept, obtain the equation of the line in slope- intercept form

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) )`

let (x₁, y₁ ) = (- 2, 2 ) and (x₂, y₂ ) = (2, 4 )

substitute these values into the formula for m

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

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

to find c, substitute either of the 2 points into the partial equation

using (2, 4 ) for x and y in the partial equation

4 =
`(1)/(2)` (2) + c = 1 + c ( subtract 1 from both sides )

3 = c

The y- intercept = 3 or (0, 3 ) in coordinate form