Question

What is the point-slope form of a line that has a slope of 3 and passes through point (1, 4)?
y minus 4 = 3 (x minus 1)
1 minus y = 3 (x minus 4)
y 1 minus 4 = 3 (1 minus x 1)
1 minus y 1 = 3 (4 minus x 1)

Answer 1

The point-slope form of a line is given by the formula:

\[
y - y_1 = m(x - x_1)
\]

where \( m \) is the slope, and \( (x_1, y_1) \) is the point the line passes through.

In your case, the slope \( m = 3 \) and the point \( (x_1, y_1) = (1, 4) \).

Plugging these values into the formula, we get:

\[
y - 4 = 3(x - 1)
\]

So, the correct answer is:

\[
y - 4 = 3(x - 1)
\]

The other options you listed are not correct representations of the point-slope form.