Question

What is the equation of the line that passes through the point (5, 5) and has a slope
of -3/5

Answer 1

y = -
`(3)/(5)` x + 8

Explanation:

the equation of a line in slope- intercept form is

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

here m = -
`(3)/(5)` , then

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

to find c substitute (5, 5 ) into the partial equation

5 = - 3 + c ⇒ c = 5 + 3 = 8

y = -
`(3)/(5)` x + 8 ← equation of line