In Exercises 17-24, use the point on the line and the slope...

In Exercises 17-24, use the point on the line and the slope of the line to find three additional points through which the line passes. (There are many correct answers.)
$$
\begin{array}{ll}
\text { Point } & \text { Slope } \\
(-5,4) & m=2
\end{array}
$$

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Key Concepts

Slope

Slope is a measure of the steepness or incline of a line, defined as the ratio of the change in the vertical direction (rise) to the change in the horizontal direction (run). It indicates how much the y-coordinate increases or decreases for a given change in the x-coordinate and is a fundamental concept in coordinate geometry.

Point-Slope Form

The point-slope form of a linear equation is a way to express the equation of a line using a known point on the line and its slope. The standard formula is y - y? = m(x - x?), where (x?, y?) is the given point and m is the slope. This form is particularly useful for quickly writing an equation of a line from such information.

Finding Additional Points on a Line

Finding additional points on a line by using the slope and a known point involves applying the definition of slope to move from the known point. By adding or subtracting appropriate multiples of the rise and run to the coordinates of the known point, one can generate new points that lie on the same line, ensuring consistency with the line's slope.

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