Answer:
B. y -2 = 1/2(x-3)
Step-by-step explanation:
Parallel lines have the same gradient
Therefore; the gradient or slope of a line parallel to line, y = 1/2x -7 will be 1/2
Since now we know that the line passes through a point (-3,-2) and has a slope of 1/2 we can get its equation.
We have points, (x,y) and (-3,-2) and a slope of 1/2
Thus;
(y -(-2))/ (x- (-3)) = 1/2
(y+2)/(x+3) = 1/2
2(y+2) = x + 3, dividing both sides by 2
we get;
y + 2 = 1/2(x+ 3)
This is equivalent to; B. y -2 = 1/2(x-3)
