Writing Linear Equations from Tables

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

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

Back

In the equation y = mx + b, 'm' represents the slope of the line, indicating how steep the line is.

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 point where the line crosses the y-axis.

Front

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

Back

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

Front

If a linear equation has a slope of 2, what does this mean?

Back

A slope of 2 means that for every 1 unit increase in x, y increases by 2 units.

Front

Write a linear equation for a slope of -2 and a y-intercept of 3.

Back

The equation is y = -2x + 3.

Front

What is the y-intercept of the equation y = 5x - 4?

Back

The y-intercept is -4.

Front

How can you determine if a linear equation is increasing or decreasing?

Back

If the slope (m) is positive, the line is increasing; if the slope is negative, the line is decreasing.

Front

Write a linear equation in slope-intercept form with a slope of 3 and a y-intercept of 5.

Back

The equation is y = 3x + 5.

Front

What is the slope of the line represented by the equation y = -x + 1?

Back

The slope is -1.