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

Back

In the equation y = mx + b, 'm' represents the slope of the line, which indicates the steepness and direction of the line.

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 of values, calculate the change in y (rise) divided by the change in x (run) between two points: slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of the equation y = 4x + 3?

Back

The y-intercept of the equation y = 4x + 3 is 3, which is the value of y when x = 0.

Front

How do you write an equation from a table of values?

Back

To write an equation from a table of values, identify the slope and y-intercept from the data points, then use the slope-intercept form y = mx + b.

Front

What is the slope of the line represented by the equation y = -3x + 3?

Back

The slope of the line represented by the equation y = -3x + 3 is -3.

Front

If a table shows the points (1, 5) and (3, 11), what is the slope?

Back

The slope is (11 - 5) / (3 - 1) = 6 / 2 = 3.

Front

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

Back

The equation of the line is y = 2x - 1.

Front

How do you determine if an equation is linear?

Back

An equation is linear if it can be written in the form y = mx + b, where m and b are constants.