Graphing Linear Equations

Front

What is the y-intercept in the equation x + 2y = 4?

Back

(0, 2) is the y-intercept, which is the point where the line crosses the y-axis.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does the slope of a line represent?

Back

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

Tags

CCSS.8.EE.B.5

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Tags

CCSS.8.EE.B.5

Front

What is the equation of a line in slope-intercept form?

Back

The equation 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

How do you graph the equation y = -4?

Back

Graph a horizontal line at y = -4.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the equation 3x + 2y = 6?

Back

The slope is -3/2.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of the line represented by the equation 2x - y = 4?

Back

The y-intercept is (0, -4).

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3