The equation you’ve provided seems to be written in a slightly unclear format. Assuming you meant to write the equation in the standard linear form, we can rearrange it to find the slope. The typical linear equation is expressed as:
y = mx + b
Here, m represents the slope of the line.
If we take the provided expression, 2t + 6, and interpret it as a linear equation with respect to t, we can see that:
y = 2t + 6
In this case, the coefficient of t (which is 2) serves as the slope of the line. Hence, the slope (m) of the line is:
m = 2
This indicates that for every unit increase in t, the value of y increases by 2 units. It’s important to note that in linear equations, the slope is a measure of how steep the line is, as well as its direction – a positive slope means the line rises as it moves from left to right.
In summary, the slope of the line represented by the equation 2t + 6 is 2.