Chapter 14.2, Problem 37WE

To determine

To calculate the equation from the given points.

Answer to Problem 37WE

The equation is obtained as,

$y=\frac{3}{5}\cdot x+c$

Explanation of Solution

Given information:

The given points are $\left(-1,2\right)\text{ and }\left(4,5\right)$

Concept used:

  $\begin{array}{l}y=mx+c\\ \text{where}\\ m=\frac{y_2-y_1}{x_2-x_1}\end{array}$

Calculation:

The line of the given points can be obtained as,

$\begin{array}{l}m=\frac{y_2-y_1}{x_1-x_2}\\ m=\frac{5-2}{4-\left(-1\right)}\\ m=\frac{3}{5}\\ y=\frac{3}{5}\cdot x+c\left[\text{where k is constant}\right]\end{array}$

Therefore, the equation is obtained as,

  $y=\frac{3}{5}\cdot x+c$