Question

Write the equation of the line that passes through 0,2 and 2,-4 in slope intercept form

Answer 1

y = - 3x + 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 the slope m, using the slope formula

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

let (x₁, y₁ ) = (0, 2 ) and (x₂, y₂ ) = (2, - 4 )

substitute these values into the formula for m

m =
`(-4-2)/(2-0)` =
`(-6)/(2)` = - 3

the line crosses the y- axis at (0, 2 ) , then c = 2

y = - 3x + 2 ← equation of line