Question

Help me find the answer

Answer 1

y = -
`(1)/(4)` x - 3

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 ) = (0, - 3) and (x₂, y₂ ) = (4, - 4) ← 2 points on the line

m =
`(-4+3)/(4-0)` = -
`(1)/(4)`

Note the line crosses the y- axis at (0, - 3) ⇒ c = - 3

y = -
`(1)/(4)` x - 3 ← equation of line