Question

c. graph the equation. choose the correct answer.
a.

b.

c.

d.

d. what is the t-intercept of the linear model?
(type an ordered pair.)

Explanation:

Step1: Recall T-intercept definition

The T - intercept of a linear model (in terms of the variables \(d\) and \(T\), where \(d\) is the independent variable and \(T\) is the dependent variable) occurs when \(d = 0\). So we need to find the point on the line where the \(d\) - value (x - coordinate, assuming \(d\) is on the x - axis) is \(0\), and then find the corresponding \(T\) - value (y - coordinate).

Step2: Analyze the graph (from the linear model's graph)

Looking at the graphs (especially the ones with the linear model), when \(d=0\) (the \(d\) - axis is the horizontal axis), we look at the value of \(T\) (vertical axis) at that point. From the general form of a linear equation \(T=md + b\), the T - intercept is the value of \(T\) when \(d = 0\), which is \(b\). Visually, on the graph, when \(d = 0\) (x = 0), we can see that the line crosses the \(T\) - axis (y - axis) at \(T = 6\) (assuming the grid and the linear model's graph, typically from the context of such problems, the T - intercept is at \((0,6)\)). Let's confirm: when \(d = 0\), the ordered pair is \((d,T)=(0,6)\) (since \(d\) is the input variable, \(T\) is the output, so the x - coordinate is \(d\), y - coordinate is \(T\)).

Answer:

\((0,6)\)