What is the equation of the line in slope-intercept form that passes through point (0, −2) and is parallel to the line y = negative one halfx + 6? Show all necessary steps.

Answer 1

y=-x/2 + 6

any parallel line has the same slope = the coefficient of the x term = -1/2

y= mx +b where m=slope =-1/2 and b = y intercept = -2

the parallel line through the given point is

y = -x/2 - 2 in slope intercept form

(0,-2) is the y intercept or y=-2=b

it may help to draw a rough sketch of the graph,

y=-x/2 -2 is the given line y=-x/2+6 shifted down vertically by 8 units