Question

Write an equation of the line in slope-intercept form. (-1, 3) (0, 4)

Answer 1

y = x + 4

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 ) = (- 1, 3 ) and (x₂, y₂ ) = (0, 4 )

m =
`(4-3)/(0-(-1))` =
`(1)/(0+1)` =
`(1)/(1)` = 1

the line crosses the y- axis at (0, 4 ) ⇒ c = 4

y = x + 4 ← equation of line