Question

**Help**
White an equation for the graph, where y depends on x.

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) )`

let (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

substitute these values into the formula for m

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

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

y = - x + 4 ← equation of line