Y = mx + b

Front

What does the equation y = mx + b represent?

Back

It represents the slope-intercept form of a linear equation, where 'm' is the slope and 'b' is the y-intercept.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

What is the slope in the equation y = mx + b?

Back

The slope (m) indicates the steepness of the line and the direction it goes. A positive slope rises from left to right, while a negative slope falls.

Tags

CCSS.8.EE.B.5

Front

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

Back

The y-intercept (b) is the point where the line crosses the y-axis.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

If the slope (m) is 1, what does the line look like?

Back

The line rises at a 45-degree angle from the origin.

Tags

CCSS.8.EE.B.5

Front

How do you find the y-intercept from a graph?

Back

Locate the point where the line crosses the y-axis.

Front

What is the equation of a line with a slope of -2 and a y-intercept of 3?

Back

y = -2x + 3.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

If a line has a slope of 0, what does that mean?

Back

The line is horizontal and does not rise or fall.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a line?

Back

It indicates that the line falls as it moves from left to right.

Tags

CCSS.8.EE.B.5

Front

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

Back

Use the formula: m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the equation y = 3x - 4?

Back

The slope is 3.

Tags

CCSS.8.EE.B.5