The point-slope formula is a method used to find the equation of a line given a point on the line and its slope. It is expressed as $y - y_1 = m(x - x_1)$, where $(x_1, y_1)$ is a point on the line and $m$ is the slope.
5 Must Know Facts For Your Next Test
The point-slope form is useful for writing the equation of a line when you know one point and the slope.
It can be easily converted to slope-intercept form ($y = mx + b$) by solving for $y$.
The formula emphasizes the relationship between changes in $x$ and corresponding changes in $y$.
Any linear equation can be represented using point-slope form if at least one point on the line and the slope are known.
$(x_1, y_1)$ represents any specific point through which the line passes.