Write a linear equation from a graph

Front

What is a growth triangle in graphing linear equations?

Back

A growth triangle is a visual representation used to illustrate the slope and intercept of a linear equation on a graph, typically formed by connecting points on the graph.

Tags

CCSS.8.EE.B.5

Front

What are lattice points in a graph?

Back

Lattice points are points on a graph where the coordinates are both integers, meaning they lie on the intersection of the grid lines.

Tags

CCSS.5.G.A.1

Front

How do you determine if a growth triangle is drawn correctly?

Back

A growth triangle is drawn correctly if it starts and ends at lattice points and accurately represents the slope and intercept of the linear equation.

Tags

CCSS.8.EE.B.5

Front

What does the slope (m) represent in the equation y=mx+b?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept (b) in the equation y=mx+b?

Back

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

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How can you write the equation of a line from a graph?

Back

To write the equation of a line from a graph, identify the slope (m) and the y-intercept (b), then use the formula y=mx+b.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the significance of the equation y=x+1?

Back

The equation y=x+1 represents a linear function with a slope of 1 and a y-intercept of 1, indicating that for every unit increase in x, y increases by the same amount.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What are the characteristics of a linear equation?

Back

A linear equation has a constant rate of change, can be represented graphically as a straight line, and can be expressed in the form y=mx+b.

Tags

CCSS.HSF-LE.A.1B

Front

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

Back

Two lines are parallel if they have the same slope (m) but different y-intercepts (b), meaning they will never intersect.

Tags

CCSS.8.EE.B.5

Front

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

Back

Two lines are perpendicular if the product of their slopes is -1, meaning one slope is the negative reciprocal of the other.

Tags

CCSS.8.EE.B.6