Question

Please help me, im so stuck

Answer 1

y =
`(1)/(2)` x + 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 m using the slope formula

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

let (x₁, y₁ ) = (4, 4) and (x₂, y₂ ) = (8, 6) ← 2 points on the line

substitute these values into the formula for m

m =
`(6-4)/(8-4)` =
`(2)/(4)` =
`(1)/(2)`

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

y =
`(1)/(2)` x + 2 ← equation of line