Answer:
y = -1/2(x -2)
or
y - 4 = -1/2(x + 6)
Step-by-step explanation:
- Point-slope form: y - y1 = m(x - x1)
For point-slope form, you need two things:
- A point (x1, y1)
- The slope (m)
Given:
You already have at least one point, but you still need to find the slope.
To find the slope (m), use the formula: m = y2 - y1/x2 - x1
- Select which point is your (x2, y2) and which is your (x1, y1)
- NOTE: It doesn't matter which one you pick as long as you don't "mix-and-match" your x and y-coordinates
- For example: you can't choose (-6,0) for a point.
I've chosen:
- (x2, y2) = (2, 0)
- (x1, y1) = (-6, 4)
Plug in the info into m = y2 - y1/x2 - x1:
- m = 0 - 4/2 -(-6) = -4/2 + 6 = -4/8
- Simplify: -4/8 = -1/2
- m = -1/2
Now plug in the slope and ONE of the points into point-slope form
- Tip: It doesn't matter which point you choose but I'd recommend choosing the point with all positive numbers, if you can, to prevent the confusion of double negatives:
Answers could be:
- y = -1/2(x -2)
- y - 4 = -1/2(x + 6)
