Graphing an inconsistent system of equations

The video tutorial explains how to identify parallel lines by recognizing that they have the same slope, leading to no intersection and thus no solution. It demonstrates graphing equations in slope-intercept form, emphasizing the importance of understanding slope as the change in y over the change in x. The tutorial provides practice in graphing lines and highlights that parallel lines will never intersect, resulting in an inconsistent solution.

What characteristic do parallel lines share that results in no solution when graphed?

• They have different slopes.

• They have the same slope.

• They intersect at one point.

• They form a right angle.

In slope-intercept form, what does the 'b' in the equation y = mx + b represent?

• The angle of the line

• The y-intercept

• The x-intercept

• The slope of the line

When graphing a line with a slope of 3, how can the slope be expressed?

• 1/1 or -1/-1

• 3/0 or 0/3

• 3/1 or -3/-1

• 1/3 or -1/-3

What happens to the points on a graph when you move in the positive direction with a slope of 3?

• They move up and to the left.

• They move down and to the right.

• They move up and to the right.

• They move down and to the left.

Why do parallel lines never intersect on a graph?

• Because they have the same y-intercept.

• Because they are perpendicular.

• Because they have the same slope.

• Because they have different y-intercepts.