Question

Awnser the following question​

Answer 1

y =
`(5)/(6)` x + 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 the slope m , using the slope formula

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

let (x₁, y₁ ) = (- 6, 1) and (x₂, y₂ ) = (6, 11) ← 2 points on the line

substitute these values into the formula for m

m =
`(11-1)/(6-(-6))` =
`(10)/(6+6)` =
`(10)/(12)` =
`(5)/(6)`

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

y =
`(5)/(6)` x + 6 ← equation of line