Writing Linear Equations from Tables & Graphs

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.

Front

What is the slope of the line that passes through the points (2, 3) and (4, 7)?

Back

The slope is (7 - 3) / (4 - 2) = 4 / 2 = 2.

Front

How can you write a linear equation from a graph?

Back

To write a linear equation from a graph, identify the slope (m) and the y-intercept (b) from the graph, then use the form y = mx + b.

Front

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

Back

The equation is y = 1x + 3 or simply y = x + 3.

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.

Front

What does it mean for a graph to be a horizontal line?

Back

A horizontal line has a slope of 0 and can be represented by the equation y = b, where b is the y-value for all x.

Front

What does it mean for a graph to be a vertical line?

Back

A vertical line has an undefined slope and can be represented by the equation x = a, where a is the x-value for all y.