Final answer:
The equation of the line with slope 3 and y-intercept 6 can be written as y = 3x + 6.
Step-by-step explanation:
The equation of the line with slope 3 and y-intercept 6 can be written in the form y = 3x + 6.
In this equation, the 3 represents the slope of the line, which means that for every increase of 1 on the horizontal axis, the y-coordinate of a point on the line will increase by 3.
The 6 represents the y-intercept, which is the point where the line intersects the y-axis.
So, the equation y = 3x + 6 describes a line with a slope of 3 and a y-intercept of 6.