Question

What is the equation of the line that passes through the point (6,1) and has a slope of -1/2

Answer 1

y = -
`(1)/(2)` x + 4

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 = -
`(1)/(2)` , then

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

to find c substitute (6, 1 ) into the partial equation

1 = -
`(1)/(2)` (6) + c = - 3 + c ( add 3 to both sides )

4 = c

y = -
`(1)/(2)` x + 4 ← equation of line