Slope Intecept from Verbal Description

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 (m) 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 (b) is the value of y when x is 0, representing where the line crosses the y-axis.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you determine the slope from a word problem?

Back

Identify the rate of change described in the problem, which is typically associated with how one quantity changes in relation to another.

Tags

CCSS.8.EE.B.5

Front

How do you determine the y-intercept from a word problem?

Back

Look for the initial value or starting point given in the problem, which corresponds to the y-intercept.

Tags

CCSS.HSF-IF.C.7A

Front

Write the equation for: "Olivia runs every day after school. She has already run 4 miles, and she can run one mile per hour."

Back

y = x + 4

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

Write the equation for: "Nicholas received $100 for his birthday. He decides to spend $20 per day on whatever he wants."

Back

y = -20x + 100

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

Write the equation for: "Patrick made 20 sandwiches for his friends. His friends eat 5 sandwiches every hour."

Back

y = -5x + 20

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

Write the equation for: "Owen made $800 this month from working. He pays $15 each time he goes out to eat for dinner."

Back

y = -15x + 800

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

Write the equation for: "Quinn's car is filled up with 14 gallons of gas. She uses 2 gallons of gas every hour."

Back

y = -2x + 14

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2