Answer:
y = 2x + 1
Step-by-step explanation:
- Slope-int form: y = mx + b
- m = slope or rise/run
- b = y-intercept
Given:
- Point (2, 5)
- m (slope) = undefined
When a slope is undefined, the line is a vertical line (it rises but doesn't "run").
To find m, use the given point's x-coordinate because the line you're trying to find will run vertically through that point.
- (x, y) = (2, 5); x = 2
- m = 2
Now the equation becomes y = 2x + b.
To find b, substitute the given point and the found slope into the formula, then solve for b.
- 5 = 2(2) + b
- 5 = 4 + b
- 5 - 4 = b
- b = 1
Now that you know what b is, you can substitute b into the equation: