Graphing Systems & Inequalities

Front

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

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does it mean for two lines to be parallel in terms of their slopes?

Back

Two lines are parallel if they have the same slope (m) but different y-intercepts (b).

Tags

CCSS.8.EE.B.5

Front

How do you determine if a point is a solution to a system of inequalities?

Back

A point is a solution if it satisfies all inequalities in the system.

Front

What is the graphical representation of a linear inequality?

Back

A linear inequality is represented by a shaded region on one side of the boundary line, which indicates all possible solutions.

Tags

CCSS.HSA.REI.D.12

Front

What does the symbol '>' indicate in an inequality?

Back

The symbol '>' indicates that the value on the left is greater than the value on the right.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≥' indicate in an inequality?

Back

The symbol '≥' indicates that the value on the left is greater than or equal to the value on the right.

Tags

CCSS.6.EE.B.8

Front

How can you tell if a system of inequalities has no solution?

Back

A system has no solution if the shaded regions of the inequalities do not overlap.

Tags

CCSS.HSA.REI.D.12

Front

What is the solution to the system of inequalities y > 2x + 1 and y < -x + 4?

Back

The solution is the region where the shaded areas of both inequalities overlap.

Tags

CCSS.HSA.REI.D.12

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

How do you graph a system of inequalities?

Back

Graph each inequality as a line, then shade the appropriate region for each inequality, identifying the overlapping area.

Tags

CCSS.HSA.REI.D.12