Questions: Unit Exam - Functions Find the equation of this line. y=3/2 x+[?] Simplify your answer completely.

Unit Exam - Functions Find the equation of this line. y=3/2 x+[?] Simplify your answer completely.
Transcript text: Unit Exam - Functions Find the equation of this line. \[ y=\frac{3}{2} x+[?] \] Simplify your answer completely.
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Solution

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Solution Steps

Step 1: Find the y-intercept

The y-intercept is the point where the line crosses the y-axis. In this graph, the line crosses the y-axis at the point (0, 2). Therefore, the y-intercept is 2.

Step 2: Write the equation

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. We are given that the slope of the line is 3/2, and we found that the y-intercept is 2. Therefore, the equation of the line is y = (3/2)x + 2.

Final Answer:

The equation of the line is y = (3/2)x + 2.

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