Chapter 10.3, Problem 25CCR

To determine

To calculate: The slope and y-intercept.

Answer to Problem 25CCR

The slope of the equation is $-\frac{2}{3}$ and the y-intercept is $20$ .

Explanation of Solution

Given information: The equation of line is $2x+3y=60$

Calculation:

The slope-intercept form is given by, $y=mx+c$ where $m$ is the slope and $c$ is the y-intercept.

Changing the given equation $2x+3y=60$ into standard form.

  $2x+3y=60$

  $\begin{array}{l}3y=-2x+60\\ y=-\frac{2}{3}x+20\end{array}$

Comparing with the standard equation we get,

  $m=-\frac{2}{3}$ and $c=20$ . i.e. the slope of the equation is $-\frac{2}{3}$ and the y-intercept is $20$ .