Question

Y=mx+b (-6,-3) and (0,9)

Answer 1

y = 2x + 9

Explanation:

The equation of a line in slope- intercept form is

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

Calculate m using the slope formula

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

with (x₁, y₁ ) = (- 6, - 3) and (x₂, y₂ ) = (0, 9)

m =
`(9+3)/(0+6)` =
`(12)/(6)` = 2

The line crosses the y- axis at (0, 9) ⇒ b = 9

y = 2x + 9 ← equation of line