Question

Help me I have more pls

Answer 1

y= 2/3x +4

Explanation:

choose 2 points to find slope

I chose points of intersection

(-6,0) (0,4)

m=y2-y1/x2-x1

`m = (4 - 0)/(0 - ( - 6)) = (2)/(3)`

then use slope point form rule

y-y1=m(x-x1)

`y - 4 = (2)/(3) (x - 0) \\ \\ y = (2)/(3) x + 4`

Answer 2

y =
`(2)/(3)` 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) )`

with (x₁, y₁ ) = (- 6, 0) and (x₂, y₂ ) = (0, 4) ← 2 points on the line

m =
`(4-0)/(0-(-6))` =
`(4)/(0+6)` =
`(4)/(6)` =
`(2)/(3)`

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

y =
`(2)/(3)` x + 4 ← equation of line