Question

Find the equation of the line passing through (-2, 6) with slope 1/2.

Answer 1

y =
`(1)/(2)` x + 7

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 (- 2, 6 ) into the partial equation

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

7 = c

y =
`(1)/(2)` x + 7 ← equation of line