159k views
4 votes
7. What do the following equations represent? 6x– 15y = 15y= 2/5x -1 are these theThe same lineParallel LinesPerpendicular LinesIntersecting lines that are not perpendicular

User Darwen
by
8.4k points

1 Answer

1 vote

To determine if the lines of the equation system are parallel, perpendicular, equal, or not perpendicular, the first step is to write both equations in the slope-intercept form:

Equation 1


6x-15y=15

To write this equation in slope-intercept form, the first step is to pass the x-term 6x to the right side of the equation. For this, apply the opposite operation to both sides of it:


\begin{gathered} 6x-6x-15y=-6x+15 \\ -15y=-6x+15 \end{gathered}

The next step is to divide both sides by -15:


\begin{gathered} -(15y)/(-15)=-(6x)/(-15)+(15)/(-15) \\ y=(2)/(5)x-1 \end{gathered}

Equation 2:

This equation is already written on the slope-intercept form:


y=(2)/(5)x-1

As you can see both equations are equal, this means that this equation system has infinite solutions.

User Namezero
by
7.4k points

Related questions

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories