California Assessment of Student Performance and Progress (CAASPP) Math Practice Exam

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What is the standard form of the equation of a line given the slope of 2 and y-intercept of 3?

y = 2x - 3
y = 2x + 3
y = -2x + 3
y = -2x - 3

The correct answer is: y = 2x + 3

To determine the correct form of the equation of a line given a slope and y-intercept, we use the slope-intercept form of a linear equation, which is expressed as $y = mx + b$. In this formula, $m$ represents the slope of the line, and $b$ represents the y-intercept. In this case, the slope $m$ is given as 2, and the y-intercept $b$ is given as 3. By substituting these values into the slope-intercept form, we get: \[ y = 2x + 3 \] This equation indicates that for every unit increase in $x$, $y$ increases by 2, and the line crosses the y-axis at the point (0, 3). The other options do not match this description. They either have incorrect signs for the slope or intercept, or they do not follow the substitution of the given slope and y-intercept into the correct equation format. Thus, the standard form of the equation with the specified slope and y-intercept is correctly expressed as $y = 2x + 3$.