Assessment and Learning in Knowledge Spaces (ALEKS) Practice Exam

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What is the slope-intercept form of a linear equation?

y=mx+b
-b±[√b²-4ac]/2a
(a-b)(a+b)
(a+b)(c+d)

The correct answer is: y=mx+b

The slope-intercept form of a linear equation is represented as $y = mx + b$, where $m$ stands for the slope of the line, and $b$ represents the y-intercept, the point at which the line crosses the y-axis. This form is particularly useful because it provides a clear and straightforward way to understand the characteristics of a linear relationship. The slope, $m$, indicates how steep the line is and the direction it goes (upward for positive slopes and downward for negative slopes), while the y-intercept, $b$, gives the exact location where the line begins on the y-axis. The other options represent different mathematical concepts: the formula involving $b$, $a$, and $c$ pertains to the quadratic formula used for solving quadratic equations, while the expressions involving $a$ and $b$ are factored forms that do not relate to linear equations as they focus on multiplication or factoring expressions. Therefore, $y = mx + b$ is the definitive representation of the slope-intercept form of a linear equation.