Equations and Linear Graphs

Front

What is the slope of the line represented by the equation y = -3x + 2?

Back

The slope is -3.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of the line represented by the equation y = -3x + 2?

Back

The y-intercept is 2.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What is the equation of a line with a slope of 2 and a y-intercept of 4?

Back

The equation is y = 2x + 4.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the slope of the line passing through the points (3, 7) and (6, 10)?

Back

The slope is 1.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line passing through the points (2, 5) and (4, 9)?

Back

The slope is 2.

Tags

CCSS.8.EE.B.5

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x.

Tags

CCSS.8.EE.B.5

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

How do you graph the equation y = mx + b?

Back

Start at the y-intercept (b) on the y-axis, then use the slope (m) to find another point.