Chapter 3.4, Problem 14PPS

To determine

To write in slope intercept form for the line that having slope $-7$ and y-intercept is $-4$ .Then graph the line.

Answer to Problem 14PPS

Line

  $y=4x-3$

Graph

Explanation of Solution

Given information:

The line having slope and y-intercept

  $m:-7$

  $b:-4$

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

  $m:-7$

  $b:-4$

The general slope intercept form is given as

  $y=mx+c$

Where

  $m$ is slope

  $c$ is y-intercept

Then

  $c=-3$

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

  $y=-7x-4$

Substituting $x=0$

Then

  $y=-4$

Substituting $y=0$

Then

  $0=-7x-4$

On solving

  $7x=-4$

On solving

  $x=-\frac{4}{7}$

Table

Then graph