Chapter 3.4, Problem 32PPS

To determine

To write an equation of line $\overleftrightarrow{MN}$ in slope intercept form.

Answer to Problem 32PPS

Slope intercept form

  $y=5$

Explanation of Solution

Given information:

Graph

Formula used:

Slope, $m=\frac{y_2-y_1}{x_2-x_1}$

Point-slope form

  $y-y_1=m(x-x_1)$

Slope intercept form

  $y=mx+b$

Calculation:

On considering graph Point $M(-6,5)$ and $N(4,5)$

Here

  $x_1=-6$

  $y_1=5$

  $x_2=4$

  $y_2=5$

Using slope formula to calculate slope of line

  $m=\frac{5-5}{4-(-6)}$

On solving

  $m=\frac{0}{10}$

On solving

  $m=0$

Using slope and any one of the point to find slope intercept form

  $m=0$

Let take point $M(-6,5)$

Here

  $x_1=-6$

  $y_1=5$

Point-slope form

  $y-5=0(x-(-6))$

On solving

  $y-5=0$

Add 5 both sides

  $y-5+5=0+5$

On solving

  $y=5$

Hence, slope intercept form is $y=5$