Final answer:
The equation of the line with a slope of 3 and a y-intercept of (0,6) is y = 3x + 6, as found using the slope-intercept form of a line equation (y = mx + b).
Step-by-step explanation:
In mathematics, you can formulate the equation of a line using the slope-intercept form, which is written as y = mx + b. In this equation, 'm' represents the slope of the line, and 'b' is the y-intercept.
According to the information you've provided, the slope (m) is 3 and the y-intercept (b) is (0,6). Hence, the y-coordinate of the y-intercept is 6.
Therefore, substituting these values into the slope-intercept form equation gives: y = 3x + 6. So, the equation of the line you're interested in is y = 3x + 6.
Learn more about Slope-Intercept Form