Final answer:
The equation of the line in slope-intercept form is 'y = mx + b'. From the given information, the slope (m) is 3 and the y-intercept (b) is 9, resulting in the specific equation 'y = 3x + 9'.
Step-by-step explanation:
In the context of the question you asked, the slope-intercept form of a line is expressed as y = mx + b. In this equation, m denotes the slope of the line and b represents the y-intercept, which tells us where the line crosses the vertical y-axis on a graph. In the provided example, your slope 'm' is 3, meaning for every horizontal increase of 1 on the x-axis, there is a rise of 3 on the y-axis. The y-intercept 'b' is 9, signifying the line intersects the y-axis at the point (0,9). Hence, based on this information, the slope-intercept form of the line will be y = 3x + 9.
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