Identifying Points of Intersection

Front

What is the point of intersection of two lines?

Back

The point where two lines meet or cross each other on a graph.

Tags

CCSS.8.EE.C.8A

Front

How do you find the point of intersection algebraically?

Back

Set the equations of the two lines equal to each other and solve for the variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does the coordinate (x,y) represent in a graph?

Back

The position of a point on the Cartesian plane, where 'x' is the horizontal position and 'y' is the vertical position.

Tags

CCSS.5.G.A.1

Front

What is the significance of the x-axis and y-axis in a graph?

Back

The x-axis is the horizontal line, and the y-axis is the vertical line; they intersect at the origin (0,0).

Tags

CCSS.5.G.A.1

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does 'm' represent in the slope-intercept form of a line?

Back

The slope of the line, indicating how steep the line is.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does 'b' represent in the slope-intercept form of a line?

Back

The y-intercept of the line, indicating where the line crosses the y-axis.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How can you determine if two lines are parallel?

Back

If they have the same slope but different y-intercepts, they will never intersect.

Tags

CCSS.8.EE.B.6

Front

How can you determine if two lines are perpendicular?

Back

If the product of their slopes is -1, they intersect at a right angle.

Tags

CCSS.HSG.GPE.B.6

Front

What is the graphical representation of the solution to a system of equations?

Back

The point(s) where the graphs of the equations intersect.

Tags

CCSS.8.EE.C.8B