Determining No Solution in a System of Linear Equations by Graphing

This video tutorial teaches how to determine if a system of two linear equations has no solution by graphing. It reviews the slope-intercept form, explains how to graph equations, and demonstrates solving systems of equations. The tutorial emphasizes that parallel lines, which have the same slope but different y-intercepts, do not intersect and thus have no solutions.

What is the slope-intercept form of a linear equation?

• x = my + b

• ax + by = c

• y = ax^2 + bx + c

• y = mx + b

How do you determine the number of solutions for a system of linear equations?

• By finding the determinant

• By graphing the equations and checking for intersections

• By solving algebraically only

• By checking the coefficients

What does it mean if two lines on a graph are parallel?

• They have one solution

• They intersect at one point

• They have infinitely many solutions

• They have no solution

If two equations have the same slope but different y-intercepts, what can be concluded?

• The lines coincide

• The lines intersect at one point

• The lines are perpendicular

• The lines are parallel and have no solutions

What is the y-intercept of the equation y = 1/2x - 1?

• 0

• 1

• 2

• -1