Respuesta :

If the lines are parallel, the slope of the green line should be the same as the red line. The slope of the green lines is -4/3.

If you want it in slope-intercept form, it is y = -4/3x + 4 (green line)

Answer:

The correct option is C.

Step-by-step explanation:

It is given that the lines graphed below are parallel.

We know that if two line having slopes m₁ and m₂ are parallel, then

[tex]m_1=m_2[/tex]

In other words, the slopes of two parallel lines are same.

The slope of the red line is -4/3 and it is parallel to the green line. It means the slope of red and green line are same.

Slope of green line = Slope of red line

Slope of green line = [tex]-\frac{4}{3}[/tex]

The slope of green line is -4/3 , therefore the correct option is C.