Chapter 3.4, Problem 15PPS

To determine

To write in slope intercept form for the line that having slope $9$ and y-intercept is $2$ .Then graph the line.

Answer to Problem 15PPS

Line

  $y=9x+2$

Graph

Explanation of Solution

Given information:

The line having slope and y-intercept

  $m:9$

  $b:2$

Formula used:

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

Slope intercept form

  $y=mx+b$

Calculation:

The line having slope and y-intercept

  $m:9$

  $b:2$

The general slope intercept form is given as

  $y=mx+b$

Where

  $m$ is slope

  $b$ is y-intercept

Then

  $b=2$

Substitute value of slope and y-intercept in general slope intercept form

  $y=9x+2$

Substituting $x=0$

Then

  $y=2$

Substituting $y=0$

Then

  $0=9x+2$

On solving

  $9x=-2$

On solving

  $x=-\frac{2}{9}$

Table

Then graph