Chapter 3.4, Problem 5CYU

To determine

To write in point-slope form for the line that having the given slope that contains the given point point.Then graph.

$m=4$ , $(-2,-3)$

Answer to Problem 5CYU

Slope intercept form

  $y=4x+5$

Graph

Explanation of Solution

Given information:

The line having slope and point

  $m=4$

  $(-2,-3)$

Formula used:

Point-slope form

  $y-y_1=m(x-x_1)$

Calculation:

The line having slope and point

  $m=4$

  $(-2,-3)$

Here

  $x_1=-2$

  $y_1=-3$

The general point-slope form is given as

  $y-y_1=m(x-x_1)$

Where

  $m$ is slope

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

  $y-(-3)=\text{4}(x-(-2))$

On solving

  $y+3=4(x+2)$

On solving

  $y=\text{4}x+5$

Substituting $x=0$

Then

  $y=5$

Substituting $y=0$

Then

  $\text{0}=4x+5$

On solving

  $x=-\frac{5}{4}$

Table

Then graph