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 )

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

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

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

5 = -
`(3)/(5)` (5) + c = - 3 + c ( add 3 to both sides )

8 = c

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