Writing Linear Equations from Multiple Representations

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does the slope of a linear equation represent?

Back

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It is the value of y when x is 0.

Front

How do you write a linear equation from a word problem?

Back

Identify the variables, determine the relationship between them, and express it in the form y = mx + b.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

Given the height of a helicopter as a function of time, how do you represent it mathematically?

Back

If a helicopter starts at a height of 40 ft and climbs at 21 ft/s, the equation is h = 21t + 40.

Tags

CCSS.HSF-BF.A.1A

Front

What is the equation for a line with a slope of -1/2 and a y-intercept of 3?

Back

The equation is y = -1/2x + 3.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you find the total cost after making multiple payments?

Back

Use the equation y = mx + b, where m is the payment amount per period, x is the number of periods, and b is the initial payment.

Tags

CCSS.8.EE.B.5

Front

Write the equation for Frankie’s total payments for a computer after x months.

Back

y = 30x + 50.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

If Melissa saves $10 each week after an initial $25, how can you express her total savings?

Back

t = 10n + 25, where n is the number of weeks.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does it mean for a function to be linear?

Back

A linear function has a constant rate of change and can be represented by a straight line on a graph.

Tags

CCSS.HSF-LE.A.1B