Interpreting Slope-Intercept Form

Front

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

Back

The slope-intercept form is given by the equation 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

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 much y changes for a unit change in x.

Tags

CCSS.8.EE.B.5

Front

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

Back

The y-intercept is the value of y when x is 0, representing the starting point of the line on the y-axis.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you write an equation for a situation where a quantity decreases over time?

Back

You write the equation in the form y = -mx + b, where m is the rate of decrease.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

How do you write an equation for a situation where a quantity increases over time?

Back

You write the equation in the form y = mx + b, where m is the rate of increase.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

If Jackson has $800 and pays $30 a month, what is the equation for his savings?

Back

y = -30x + 800.

Tags

CCSS.6.EE.C.9

Front

If it snows 2 inches per hour starting from 8.6 inches, what is the equation for the total snow?

Back

y = 2x + 8.6.

Tags

CCSS.HSF-BF.A.1A

Front

If Stephanie owes $80 and pays back $15 a month, what is the equation for her debt?

Back

y = -15x + 80.

Tags

CCSS.6.EE.C.9

Front

What does a positive slope indicate about a linear relationship?

Back

A positive slope indicates that as x increases, y also increases.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a linear relationship?

Back

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

Tags

CCSS.8.EE.B.5