Chapter 3.4, Problem 20PPS

To determine

To write in slope intercept form for the line that having slope $4$ and containing $(-4,8)$ .Then graph the line.

Answer to Problem 20PPS

Line

  $y=4x+24$

Graph

Explanation of Solution

Given information:

The line having slope and point

  $m=4$

  $(-4,8)$

Formula used:

Point-slope form

  $y-y_1=m(x-x_1\text{)}$

Calculation:

The line having slope and point

  $m=4$

  $(-4,8)$

Here

  $x_1=-4$

  $y_1=8$

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

  $y-8=4(x-(-4)\text{) }$

On solving

  $y-8=4(x+4)$

On solving

  $y-8=4x+16$

Add $8$ both sides

  $y-8+8=4x+16+8$

On solving

  $y=4x+24$

Substituting $x=0$

Then

  $y=24$

Substituting $y=0$

Then

  $0=4x+24$

On solving

  $4x=-24$

On solving

  $x=-6$

Table

Then graph