Answer:
y = 2x + 13 or -2x + y = 13
Explanation:
1) I would convert x + 2y = 6 to y-intercept/slope-intercept form...
2y = -x + 6 - > y = -1/2x + 3
2) The slope of the line is -1/2. Perpendicular lines have a negative reciprocal slope to the other line, so the slope is 2. Therefore your equation so far is...
y = 2x + b
3) The point that is given is (8, 3). This means that x = 8 and y = 3. Substitute that into the equation and solve for b (the y-intercept)
3 = 2(8) + b
3 = 16 + b
-13 = b
b = 13
4) Now, we know that b = 13 and the slope is 2. Therefore...
y = 2x + 13
Also note, if you want this equation in standard form, it would be...
-2x + y = 13