So the equation has to pass through (6,-1) and be perpendicular to y = -2x + 8. The slope is -2, and to get the slope of a line perpendicular to another line you have to find the negative reciprocal of that slope. That means -2 is equal to -2/1, and if you flip those numbers and find the opposite of that number making it positive, the slope of a line perpendicular to it is 1/2. But the line also has to pass through (6,-1), so we have to find the y-intercept of the new line. To do that, you multiply 6(the x) by the 1/2(the slope) and get 3. Then you subtract 3(previous answer) from -1(the y) and get -4. That means the y-intercept is -4! All that's left is to build the equation with this information. The equation is: y = -4 + 1/2x Hope this helps!
