Question

write the equation of the line that is parallel to the graph of y = 1/2 x + 6 and whose y intercept is -2

Answer 1

y = (1/2)x - 2

Explanation:

Parallel lines have the same slope, so the desired equation has the slope (1/2).

Using the slope-intercept equation of a straight line, we have:

y = mx + b,

where we know that m = 1/2 and b = -2.

Then the desired equation is

y = (1/2)x - 2

Answer 2

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

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 + 6 ← is in slope- intercept form

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

Parallel lines have equal slopes and c = - 2, thus

y =
`(1)/(2)` x - 2 ← equation of parallel line