Warm-up Slope and Slope-Intercept form

Front

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

Back

The slope (m) represents the rate of change of y with respect to x in the equation y = mx + b.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

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

Back

The y-intercept (b) is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Determine the slope and y-intercept from the equation: y = 3/2x + 3.

Back

Slope: 3/2, Y-intercept: (0, 3)

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What type of slope is represented by a line that goes upwards from left to right?

Back

Positive slope.

Tags

CCSS.8.EE.B.5

Front

What type of slope is represented by a line that goes downwards from left to right?

Back

Negative slope.

Tags

CCSS.8.EE.B.5

Front

What type of slope is represented by a horizontal line?

Back

Zero slope.

Tags

CCSS.8.EE.B.5

Front

What type of slope is represented by a vertical line?

Back

Undefined slope.

Tags

CCSS.8.EE.B.5

Front

If the slope of a line is 1/2, what does this indicate about the line's steepness?

Back

The line rises 1 unit for every 2 units it runs, indicating a gentle slope.

Tags

CCSS.8.EE.B.5

Front

How do you find the slope between 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 the line represented by the points (2, 3) and (4, 5)?

Back

Slope = (5 - 3) / (4 - 2) = 2/2 = 1.

Tags

CCSS.8.EE.B.5