Exercise 37 Page 339

We can calculate the slope by substituting the given points into the Slope Formula.

m = \frac{y _{2} - y _{1}}{x _{2} - x _{1}}

In this equation,

(x_{1}, y_{1})

and

(x_{2}, y_{2})

represent two points on the line. Note that it does not matter which point we use for

(x_{1}, y_{1})

and which point we use for

(x_{2}, y_{2}) .

The result of using the Slope Formula will be the same. Let's substitute the given points.

m = \frac{y _{2} - y _{1}}{x _{2} - x _{1}}

Substitute $(0, 6)$ & $(4, 9)$

m = \frac{9 - 6}{4 - 0}

Subtract terms

m = \frac{3}{4}

The slope of the line that passes through the given points is

\frac{3}{4} .