Chapter 3.4, Problem 19PPS

To determine

To write in slope intercept form for the line that having slope $2$ and containing $(3,11)$ Then graph the line.

Answer to Problem 19PPS

Line

  $y=2x+7$

Graph

Explanation of Solution

Given information:

The line having slope and point

  $m=2$

  $(3,11)$

Formula used:

Point-slope form

  $y-y_1=m(x-x_1\text{) }$

Calculation:

The line having slope and point

  $m:\frac{5}{11}$

  $(3,11)$

Here

  $x_1=3$

  $y_1=11$

Substitute value of slope and point in the point-slope form

  $y-11=2(x-2\text{) }$

On solving

  $y-11=2x-4$

Add $11$ both sides

  $y-11+11=2x-4+11$

On solving

  $y=2x+7$

Substituting $x=0$

Then

  $y=7$

Substituting $y=0$

Then

  $0=2x+7$

On solving

  $2x=-7$

On solving

  $x=\frac{-7}{2}$

Table

Then graph