The given line passes through the points (-4,-3) and (4, 1).

See attached image.

What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (-4, 3)?

y-1=1/2(x-4)     or     y+3=1/2(x+4)

Step-by-step explanation:

Use the slope formula y2-y1/x2-x1    

When you solve for the slope of these two points you will get 1/2.

Then we simply put it into point slope form  y-y1=m(x-x1)

Pick any coordinate an replace the values. Y1 Being the y coordinate X2 Being the x coordinate.

Easy :)

the answer to the question is a  

it has the same slope and the same y-intercept.