Question

The straight line L has equation y = 1/2x+7 The straight line M is parallel to L and passes through the point (0, 3). Write down an equation for the line M.

Answer 1

y =
`(1)/(2)` x + 3

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y =
`(1)/(2)` x + 7 ← is in slope- intercept form

with slope m =
`(1)/(2)`

Parallel lines have equal slopes

line M crosses the y- axis at (0, 3) ⇒ c = 3

y =
`(1)/(2)` x + 3 ← equation of line M