Slope Intercept Form

Front

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

Back

The slope-intercept form 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

What does the slope (m) represent in a linear equation?

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

What does the y-intercept (b) represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b).

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Write the equation for a service that charges a flat fee of $20 plus $30 per hour.

Back

y = 30x + 20, where y is the total cost and x is the number of hours.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the y-intercept of the equation y = 2x + 5?

Back

The y-intercept is 5, represented as the point (0, 5).

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Determine the slope and y-intercept from the equation y = -4x + 2.

Back

Slope: -4, y-intercept: (0, 2).

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

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

Back

A slope of 1/2 indicates that for every 2 units moved horizontally, the line moves up 1 unit.

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 the line represented by the equation y = 5x - 3?

Back

The slope is 5.

Tags

CCSS.8.EE.B.5

Front

Write the equation for a plumber who charges $25 for a service call plus $50 per hour.

Back

C = 50h + 25, where C is the total cost and h is the number of hours.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2