Write the equation of the line passing through (1,0) and (1,-1)
a) x=1
b) y=1
c) y=x+1
d) y=-x
again, could you tell me what YOUR answer is?
here I go,
answer d
nope, the answer is a.
To write the equation of a line passing through two points, we can use the point-slope form of a linear equation: y - y₁ = m(x - x₁), where (x₁, y₁) are the coordinates of one point on the line and m is the slope.
Given the points (1, 0) and (1, -1), we can see that the x-coordinate is the same for both points. This means that the line is vertical and parallel to the y-axis. In this case, the slope is undefined, as the line does not have a y-intercept.
Since the line is vertical and parallel to the y-axis, the x-value will always be 1. Therefore, the equation of the line is x = 1. Therefore, the correct answer is option a) x=1.