Writing Linear Equations from Graphs

Front

What is the slope (m) of a linear graph?

Back

The slope (m) represents the rate of change of the line, indicating how steep it is. It is calculated as the rise over run.

Front

What does the y-intercept (b) represent in a linear equation?

Back

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x=0.

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

How do you find the slope from a graph?

Back

To find the slope from a graph, select two points on the line, calculate the rise (change in y) and run (change in x), and divide rise by run.

Front

If a line goes down from left to right, what is the sign of the slope?

Back

The slope is negative.

Front

If a line goes up from left to right, what is the sign of the slope?

Back

The slope is positive.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is y = b, where b is the y-value for all points on the line.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is x = a, where a is the x-value for all points on the line.

Front

How do you write the equation of a line given the slope and y-intercept?

Back

Use the slope-intercept form: y = mx + b, substituting m for the slope and b for the y-intercept.

Front

What is the slope of the line represented by the equation y = 2x + 5?

Back

The slope (m) is 2.