Chapter 5.3, Problem 2STP

For Exercises $1-5,$ choose the correct letter.

What is an equation of the line that has slope -4 and passes through the point (-2,-5)?

F. $y=-4x-8$

G. $y=-4x-13$

H. $y=-4x-5$

I. $y=-4x+3$

To determine

To find: the equation of line that has slope -4 and passes through the point (-2, -5).

Answer to Problem 2STP

Option G is true as equation of line is $y=-4x-13$ .

Explanation of Solution

Given information:

Given that slope of lines is -4 and point is (-2, -5)

Concept used:- The equation of line that has slope m and passes through $(x_1,y_1)$ is $(y-y_1)=m(x-x_1)$

Calculation:- The equation of line that has slope m and passes through $(x_1,y_1)$ is $(y-y_1)=m(x-x_1)$

Given that the slope of equation is -4 and points are (-2, -5),

So the equation is

  $(y-(-5))=-4(x-(-2))$

  $y+5=-4(x+2)$

  $\begin{array}{l}y+5=-4x-8\\ y=-4x-13\end{array}$

Therefore, option G is true as equation of line is $y=-4x-13$ .