Question

X
————————
Y
Formula of the Line

Answer 1

y = 4x + 4

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept, where it crosses the y- axis )

calculate m using the slope formula

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

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (- 2, - 4) ← 2 points on the line

m =
`(-4-0)/(-2-(-1))` =
`(-4)/(-2+1)` =
`(-4)/(-1)` = 4

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

y = 4x + 4 ← equation of line