Which formula is expressed as Point-Slope Form?

Prepare for the UGA Math Placement Exam. Study with flashcards and multiple choice questions, each question has hints and explanations. Ace your exam with confidence!

The point-slope form of a linear equation is represented by the formula y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a specific point on the line. This form is particularly useful for writing the equation of a line when you know one point on the line and the slope.

In this context, y and x represent the variables, while y1 and x1 are constants that represent a point through which the line passes. The slope, m, indicates the steepness and direction of the line. When you manipulate this equation or use a given point (x1, y1) to determine the equation, it allows you to easily express the line in relation to that specific point and slope.

Other options represent different forms of linear equations. For instance, the second choice showcases the slope formula, making it more complex than the straightforward point-slope format. The third option is the standard form of a linear equation, which is represented differently than the point-slope formulation. Lastly, the fourth choice represents the slope-intercept form, where the focus is on the y-intercept and slope rather than a specific point on the line.

Thus, the point-slope

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