Solving a system of equations with an inconsistent solution graphing

The video tutorial explains how to graph two linear equations, Y = -3X and Y = -3X + 2, highlighting that both have the same slope, making them parallel lines. Since parallel lines never intersect, the system of equations is inconsistent, meaning there is no solution. The tutorial guides viewers through graphing these lines, identifying intercepts, and understanding the implications of parallel slopes.

What is the relationship between the slopes of two parallel lines?

• They intersect at one point.

• One slope is the negative reciprocal of the other.

• They have the same slope.

• They have different slopes.

How do you determine the y-intercept of the equation y = -3x + 2?

• By finding the slope.

• By looking at the constant term.

• By looking at the coefficient of x.

• By setting x to zero and solving for y.

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

• -3

• 0

• 1

• 3

If two lines have the same slope but different y-intercepts, what can be said about their graphs?

• They will be parallel and never intersect.

• They will coincide.

• They will intersect at one point.

• They will be perpendicular.

What is the y-intercept of the line y = -3x?

• 3

• 1

• 0

• -3