Write an equation for the given line:
1. P(2,3), m=2
2. P(1,0), no slope
3. P (-1,2), m=-1/2
4. P(2,3), m = 0
1.y=2(x-2)+3
2. y=(x-1)
3. y= -1/2(x+1)+2
4. y=(x-2)+3
The point-slope form of the equation to a line is given by .
The answer you have for the first problem is correct. In the second problem, however, your are asked to find the equation to a line that goes through the point that has no slope. No slope implies that the line is vertical. Thus, the equation is .
Number 3 is correct.
Number 4 is wrong. If I use the formula that I have written at the beginning og this post, I have
This is a horizontal line, as is expected given a slope of 0.