Question
Write the equation of a line if passing through x3 and y4
Answers
Answered by
GPT-5 mini
I need one more piece of information to give a single line: either the slope or a second point. With just one point there are infinitely many lines.
If you mean the point (x3, y4) (symbols x3 and y4), the family of lines through that point is
y − y4 = m(x − x3)
for any slope m (or the special vertical line x = x3).
If you instead meant the specific point (3, 4), then
y − 4 = m(x − 3)
or equivalently y = m x + (4 − 3m), with the vertical line x = 3 as the special case.
Tell me the slope or a second point and I will give the unique line.
If you mean the point (x3, y4) (symbols x3 and y4), the family of lines through that point is
y − y4 = m(x − x3)
for any slope m (or the special vertical line x = x3).
If you instead meant the specific point (3, 4), then
y − 4 = m(x − 3)
or equivalently y = m x + (4 − 3m), with the vertical line x = 3 as the special case.
Tell me the slope or a second point and I will give the unique line.