What would you like to understand?

After determining the slope $m$, substitute it and the coordinates of a known point $(x_1, y_1)$ on the line into the point-slope formula $y - y_1 = m(x - x_1)$. The resulting equation is then algebraically simplified by distributing the slope and isolating $y$ to convert it into slope-intercept form $y = mx + b$.

Conditions: The slope $m$ of the line is already known.; At least one point $(x_1, y_1)$ that lies on the line is known.; The goal is to find the equation of the line.

After determining the slope $m$, substitute it and the coordinates of a known point $(x_1, y_1)$ on the line into the point-slope formula $y - y_1 = m(x - x_1)$. The resulting equation is then algebraically simplified by distributing the slope and isolating $y$ to convert it into slope-intercept form $y = mx + b$.

Conditions: The slope $m$ of the line is already known.; At least one point $(x_1, y_1)$ that lies on the line is known.; The goal is to find the equation of the line.