College Math Placement Practice Test

Question: 1 / 400

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

y = 2x + 3

To understand why the correct answer represents the equation of a line in slope-intercept form, it's important to clarify the standard format for such an equation. The slope-intercept form of a line is given by the equation \( y = mx + b \), where \( m \) represents the slope and \( b \) denotes the y-intercept.

In this case, the problem states that the slope is 2 and the y-intercept is 3. Substituting these values into the slope-intercept formula gives:

1. The slope \( m = 2 \)

2. The y-intercept \( b = 3 \)

Thus, the equation becomes \( y = 2x + 3 \). This clearly indicates that for every unit increase in \( x \), the value of \( y \) increases by 2, and when \( x = 0 \), the value of \( y \) is 3.

In contrast, the other options provided either have a different slope or y-intercept:

- The option with a slope of 3 alters the rate of increase of \( y \) as \( x \) increases.

- The option proposing a negative slope does not align with the positive slope of 2

Get further explanation with Examzify DeepDiveBeta

y = 3x + 2

y = 2x - 3

y = -2x + 3

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