Graphs of Linear Equations

Front

What is the x-intercept of the equation 3x + 8y = 24?

Back

(8, 0) - The x-intercept is found by setting y = 0 and solving for x.

Front

What type of line does the equation y = -3 represent?

Back

Horizontal - This equation indicates that y is always -3, regardless of x.

Front

What is the definition of slope in a linear equation?

Back

The slope is a measure of the steepness of a line, calculated as the change in y over the change in x.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a vertical line?

Back

Undefined - Vertical lines do not have a defined slope.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a horizontal line?

Back

0 - Horizontal lines have a slope of zero because there is no change in y.

Tags

CCSS.8.EE.B.5

Front

Calculate the y-intercept of the equation 4x + 2y = -12.

Back

(-6) - The y-intercept is found by setting x = 0 and solving for y.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

What does it mean if a line has a positive slope?

Back

It means that as x increases, y also increases, indicating an upward trend.

Tags

CCSS.8.EE.B.5

Front

What does it mean if a line has a negative slope?

Back

It means that as x increases, y decreases, indicating a downward trend.

Tags

CCSS.8.EE.B.5

Front

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

Back

Slope = (y2 - y1) / (x2 - x1) - This formula calculates the steepness of the line between the two points.

Tags

CCSS.8.EE.B.5

Front

What is the general form of a linear equation?

Back

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

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6