Chapter 4, Problem 2PFA

To determine

To Find: The ‘y’ intercept of a line passing through $\left(3.6,7.4\right)$ and slope $-2$ .

Answer to Problem 2PFA

The ‘y’ intercept is $c=14.6$ .

Explanation of Solution

Given information:

Line passing through $\left(3.6,7.4\right)$ and slope $-2$

Concept and Formula Used:

Equation of line in slope intercept form $y=mx+c$

Calculation:

It is given that line passing through $\left(3.6,7.4\right)$ and slope $-2$

The slope intercept form of a line is

  $\begin{array}{l}y=mx+c\\ \text{As line pass through }\left(3.6,7.4\right)\&\text{ having slope}-2\\ 7.4=-2\left(3.6\right)+c\\ 7.4=-7.2+c\\ c=7.4+7.2\\ c=14.6\end{array}$

Conclusion:

The ‘y’ intercept is $c=14.6$ .