Question

PLS HELP
Find an equation of the line with a y-intercept of -3 and an x-intercept of -4.5

Answer 1

y = -
`(2)/(3)` 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 ) = (- 4.5, 0 ) ← coordinates of intercepts

m =
`(0-(-3))/(-4.5-0)` =
`(0+3)/(-4.5-0)` =
`(3)/(-4.5)` = -
`(2)/(3)`

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

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