Writing equations in slope intercept form from a Table

Front

What is slope-intercept form?

Back

Slope-intercept form is a way of writing the equation of a line as y = mx + b, where m is the slope and b is the y-intercept.

Front

What does 'm' represent in the equation y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope, which is the rate of change of y with respect to x.

Front

What does 'b' represent in the equation y = mx + b?

Back

In the equation y = mx + b, 'b' represents the y-intercept, which is the value of y when x is 0.

Front

How do you determine if a linear function is proportional?

Back

A linear function is proportional if it passes through the origin (0,0) and can be expressed in the form y = mx.

Front

What is the slope of a line that rises 3 units for every 1 unit it runs?

Back

The slope is 3, which can be expressed as 3/1.

Front

If a table shows a constant rate of change, what type of function does it represent?

Back

It represents a linear function.

Front

How can you find the slope from a table of values?

Back

To find the slope from a table, calculate the change in y divided by the change in x (rise/run) between two points.

Front

What is the equation of a line with a slope of 2 and a y-intercept of 5?

Back

The equation is y = 2x + 5.

Front

Given the points (1, 3) and (3, 7), what is the slope?

Back

The slope is 2, calculated as (7-3)/(3-1).

Front

What is the y-intercept of the equation y = -4x + 8?

Back

The y-intercept is 8.