Question

write an equation in slope-intercept form for the line that has the indicated slope, m, and contains the given point. m= -1/2 , (8, 1)

Answer 1

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

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)`, thus

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

To find c substitute (8, 1) into the partial equation

1 = - 4 + c ⇒ c = 1 + 4 = 5

y = -
`(1)/(2)` x + 5 ← in slope- intercept form