Question

Write the equation of a line in slope intercept form that has a slope of 1/5 and contains (-10,6)

Answer 1

y =
`(1)/(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 =
`(1)/(5)`, hence

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

To find c substitute (- 10, 6) into the partial equation

6 = - 2 + c ⇒ c = 6 + 2 = 8

y =
`(1)/(5)` x + 8