Write Linear Equations From Tables

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.

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. It indicates how much y changes for a one-unit increase in x.

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. It is the point where the line crosses the y-axis.

Front

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

Back

Identify the initial value and the rate of change, then use the formula y = mx + b, where m is the rate of change and b is the initial value.

Front

Given the table: (0, 3), (1, 7), (2, 11), what is the linear equation?

Back

y = 4x + 3.

Front

What is the formula for slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

If Bob saves $40 per month starting with $150, what is the equation for his savings?

Back

y = 40x + 150.

Front

How do you determine if a linear equation matches a table of values?

Back

Calculate the slope and y-intercept from the table and compare it to the equation in 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.

Front

In the equation y = 1.5x + 20, what does 1.5 represent?

Back

1.5 represents the cost per ride in the amusement park scenario.