Question

a line has a slope of -2/5 and passes through the point (-1,0) what is the equation in slope intercept form

Answer 1

y = -
`(2)/(5)` x -
`(2)/(5)`

Explanation:

the equation of a line in slope- intercept form is

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

given slope m = -
`(2)/(5)` , then

y = -
`(2)/(5)` x + c ← is the partial equation

to find c , substitute the point (- 1, 0 ) for x and y into the partial equation

0 = -
`(2)/(5)` (- 1) + c =
`(2)/(5)` + c ( subtract
`(2)/(5)` from both sides )

-
`(2)/(5)` = c

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