Identify the equation in point slope form for the line parallel to y=1/2x-7 that passes through (-3,-2).

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)

the correct answer is y+2= 1/2(x+3)

Step-by-step explanation:

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

step-by-step explanation:

left be aligning the decimal points is required to not required see the number of digits to the right