Question

Please help and explain how you got that answer.

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 the slope m using the slope formula

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

let (x₁, y₁ ) = (- 2, 6) and (x₂, y₂ ) = (3, 1) ← 2 points on the line

substitute these values into the formula for m

m =
`(1-6)/(3-(-2))` =
`(-5)/(3+2)` =
`(-5)/(5)` = - 1

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

y = - x + 4 ← equation of line