Question

I need to find the c intercept and write the equation

Answer 1

The C-intercept is the point at which the function crosses the C-axis, then it is at t=0.

As we know two points on the line: (-20, 200) and (30,0), and we found previously the slope m=-4.

We can use the slope-intercept form of the equation of a line to find the C-intercept as follows:

`C=m\cdot t+b`

Where (t,C) is any point on the line, m is the slope and b is the C-intercept.

By replacing the know values we can solve for b:

`\begin{gathered} 0=-4\cdot30+b \\ 0=-120+b \\ \text{Add 120 to both sides} \\ 0+120=-120+b+120 \\ 120=b \end{gathered}`

Therefore,