Graphing a system of equations to find an inconsistent solution

The video tutorial explains how to convert equations into slope intercept form (y = mx + b) to solve and graph systems of equations. It demonstrates the process of isolating variables and rewriting equations, highlighting the importance of identifying parallel lines with the same slope, which indicates an inconsistent system with no solutions. The tutorial concludes with graphing the equations to visually confirm the parallel nature and lack of intersection.

What is the first step in converting the equation 3X + y = 2 into slope-intercept form?

• Add 3X to both sides

• Subtract 3X from both sides

• Divide both sides by 3

• Multiply both sides by 3

When converting 4y = 12 - 12X into slope-intercept form, what operation is necessary?

• Multiply by 4

• Add 12X to both sides

• Divide by 4

• Subtract 12 from both sides

What does it mean when two equations in slope-intercept form have the same slope?

• The system has one solution

• The lines are perpendicular

• The lines are parallel

• The system has infinite solutions

How can you visually confirm that two lines are parallel on a graph?

• They intersect at one point

• They have different slopes

• They never intersect

• They form a right angle

What is the slope of the line represented by the equation y = -3X + 3?

• -3

• 3

• 1/3

• -1/3