Question

Steffen graphed two lines in order to find the solution to a given system of equations. What is the solution?

Answer 1

check the picture below.

Answer 2

The intersection point of both equations of lines is (-3,-8) and this can be determined by using the two-point slope form of the line.

Given :

Steffen graphed two lines in order to find the solution to a given system of equations.

First, determine the equation of both the lines given in the graph. So, the equation of the red line passes through (-0.5,0) and (0,1) is given by:

$\dfrac{y-0}{x+0.5}=\dfrac{0+0.5}{1-0}$

Simplify the above equation.

y = 0.5(x + 0.5)

y = 0.5x + 0.25

Now, determine the equation of the blue line passes through (0,-9) and (-12,-5).

$\dfrac{y+9}{x-0}=\dfrac{-5+9}{-12-0}$

Simplify the above equation.

-12(y + 9) = 4(x)

-12y - 108 = 4x

x + 3y + 36 = 0

So, the intersection point of both equations of lines is (-3,-8).

For more information, refer to the link given below:

https://brainly.com/question/7039469