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

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Which of the following represents the equation of a line with a slope of 2 and a y-intercept of 3?

  1. y = 2x + 3

  2. y = 3x + 2

  3. y = x + 2

  4. y = 2x - 3

The correct answer is: y = 2x + 3

The equation of a line in slope-intercept form is written as \( y = mx + b \), where \( m \) represents the slope and \( b \) represents the y-intercept. In this case, you are looking for an equation with a slope of 2 and a y-intercept of 3. By substituting the values of the slope and y-intercept into the equation form, you get \( y = 2x + 3 \). This matches the characteristics specified in the question perfectly, where the slope (2) is the coefficient of \( x \), and the constant term (3) is the y-intercept, representing the point where the line crosses the y-axis. The other options do not match this requirement: they either present a different slope or y-intercept, which does not follow the given conditions of having a slope of 2 and a y-intercept of 3. Thus, \( y = 2x + 3 \) is the correct representation of the line as described.