Question

How do you write a slope intercept equation with the slope of 1/2 and the points of (4,6)

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)` so

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

To find c substitute (4, 6) into the partial equation

6 = 2 + c ⇒ c = 6 - 2 = 4

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