Question

Whats the answer please

Answer 1

y = 2x + 6

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate slope m using the slope formula

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

let (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (0, 6) ← 2 points on the line

substitute these values into the formula for m

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

the line crosses the y- axis at (0, 6 ) , then c = 6

y = 2x + 6 ← equation of line