Chapter 1, Problem 44SGA

To determine

To find: the slope-intercept form of line equation.

Answer to Problem 44SGA

  $y=-1$

Explanation of Solution

Given information:

Line is horizontal. Coordinates are $\left(3,-1\right)$

Calculation:

Since the line is horizontal. So the slope (m) will be zero.

Substitute the values of slope (m) and one of the coordinates in the above equation and solve as follows:

  $\begin{array}{c}y=mx+b\\ -1=\left(0\right)\left(3\right)+b\\ -1=0+b\\ b=-1\end{array}$

Now put the value of m and b in the slope intercept form as shown below.

  $\begin{array}{l}y=mx+b\\ y=\left(0\right)x+\left(-1\right)\\ y=0-1\\ y=-1\end{array}$

Thus, the slope intercept form of line is $y=-1$ .