Answer:
the desired equation is
y = (1/2)x - 21/2
Step-by-step explanation:
Looks as tho' you may have typed in an extra 'y' here. I will proceed under the assumption that you meant y = (1/2)x - 4. This line has a slope of 1/2.
Any line parallel to it also has a slope of m = 1/2.
Start by replacing y, x, m and b in y = mx + b with the knowns:
y = mx + b becomes -6 = (1/2)(9) + b.
Clear this of fractions by multiplying all 3 terms by 2:
-12 = 9 + 2b, or:
-21 = 2b. Dividing both sides by 2 results in b = -21/2.
Thus, the desired equation is
y = (1/2)x - 21/2
