Question

Provide the formula for an equation of a line using one point and the slope, outlining the steps to derive the equation.

Answer 1

The formula for an equation of a line using one point and the slope is y - y1 = m(x - x1), where (x1, y1) represents the coordinates of the given point and m represents the slope. To derive the equation, identify the values of x1, y1, and m, substitute these values into the equation, and simplify and rearrange to obtain the final form.

Step-by-step explanation:

The formula for an equation of a line using one point and the slope is y - y1 = m(x - x1), where (x1, y1) represents the coordinates of the given point and m represents the slope.

To derive the equation, follow these steps:

1. Identify the values of x1, y1, and m from the given information.
2. Substitute these values into the equation y - y1 = m(x - x1).
3. Simplify and rearrange the equation to obtain the final form.