Question

Write an equation in slope intercept form that passes through (-3, -4) and has a y-intercept located at y=-3

Answer 1

y =
`(1)/(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 ) = (- 3, - 4 ) and (x₂, y₂ ) = (0, - 3 ) ← coordinates of y- intercept

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

the y- intercept c = - 3

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