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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.

To find the point on the curve $y = x^2 - 4$ at $x = -1$, substitute $x = -1$ into the equation. Evaluating $(-1)^2 - 4$ yields $1 - 4 = -3$, so the coordinates of the point are $(-1, -3)$.

Conditions: The curve is defined by the equation $y = x^2 - 4$.; The x-coordinate of the desired point is given as $-1$.; The point must lie on the curve.

To find the point on the curve $y = x^2 - 4$ at $x = -1$, substitute $x = -1$ into the equation. Evaluating $(-1)^2 - 4$ yields $1 - 4 = -3$, so the coordinates of the point are $(-1, -3)$.

Conditions: The curve is defined by the equation $y = x^2 - 4$.; The x-coordinate of the desired point is given as $-1$.; The point must lie on the curve.