Why use point-slope form?

It is the fastest form when a slope and one point are known.

Is point-slope form the same line as slope-intercept form?

Yes. They are equivalent forms of the same line.

Write a line in point-slope form from a slope and a point, then convert to slope-intercept form.

Slope mx1y1

Answer

y - 5 = 3(x - 2)

Point-slope form is useful when you know a slope and one point. It shows the line equation before simplifying to y = mx + b.

y - y1 = m(x - x1).

Problem: m = 3, point (2, 5)

Solution: y - 5 = 3(x - 2), which simplifies to y = 3x - 1.